Prime p₀= 1032192842685446537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 28 2 40 2 88 2 4 2 (?)
a_n: 0 2 30 32 102 104 132 134 174 176 264 266 270 272
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: Theadalus
db: batch=76, k=14, 28 70 28 40 88 4

SPT(16)	1032192383848013749	0 4 60 78 138 144 174 204 208 238 268 274 334 352 408 412	-458837432788
SPT(16)	1032192387290110469	0 42 54 78 104 120 122 132 140 150 152 168 194 218 230 272	-455395336068
SPT(16)	1032192458049164117	0 30 54 84 144 180 186 234 272 320 326 362 422 452 476 506	-384636282420
SPT(16)	1032192563329594921	0 16 30 126 156 160 168 172 216 220 228 232 262 358 372 388	-279355851616
SPT(16)	1032192651728453461	0 30 36 46 78 108 178 186 190 198 268 298 330 340 346 376	-190956993076
SPT(18)	1032192803833336727	0 14 50 72 96 200 222 242 246 260 264 284 306 410 434 456 492 506	-38852109810
SPT(16)	1032192877763043499	0 10 12 34 48 70 88 112 150 174 192 214 228 250 252 262	35077596962
SPT(16)	1032193146309880073	0 36 80 84 96 134 234 266 288 320 420 458 470 474 518 554	303624433536
SPT(16)	1032193177394187733	0 18 64 94 106 136 156 166 168 178 198 228 240 270 316 334	334708741196
SPT(16)	1032193180971383063	0 6 80 90 98 110 140 146 168 174 204 216 224 234 308 314	338285936526
STPT(10)	1032193272090505631	0 2 36 38 138 140 240 242 276 278	429405059094