Prime p₀= 975460526910800039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 46 2 76 2 88 2 22 2 (?)
a_n: 0 2 30 32 42 44 90 92 168 170 258 260 282 284
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: 284
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 28 10 46 76 88 22

SPT(16)	975459299271952591	0 12 18 28 78 96 106 120 178 192 202 220 270 280 286 298	-1227638847448
SPT(13)	975459315747431741	0 30 36 42 102 150 156 162 210 270 276 282 312	-1211163368298
SPT(16)	975459870068579429	0 14 32 78 84 92 102 120 122 140 150 158 164 210 228 242	-656842220610
STPT(10)	975459927175183517	0 2 12 14 42 44 72 74 84 86	-599735616522
SPT(20)	975460139845797833	0 6 24 38 56 90 96 110 170 194 210 234 294 308 314 348 366 380 398 404	-387065002206
TPT(14)	975460356581065259	0 2 48 50 102 104 132 134 168 170 240 242 300 302	-170329734780
STPT(10)	975460786078776197	0 2 30 32 72 74 114 116 144 146	259167976158
SPT(16)	975460932569221271	0 78 92 122 138 150 162 180 218 236 248 260 276 306 320 398	405658421232
TPT(14)	975461448448449551	0 2 30 32 96 98 108 110 120 122 156 158 180 182	921537649512
SPT(16)	975461705281860301	0 16 36 42 66 108 120 148 240 268 280 322 346 352 372 388	1178371060262
SPT(16)	975461894923596991	0 16 30 58 60 70 106 136 330 360 396 406 408 436 450 466	1368012796952