Prime p₀= 1146410758109433821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 94 2 22 2 28 2 94 2 (?)
a_n: 0 2 30 32 90 92 186 188 210 212 240 242 336 338
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: 338
Found by: mcf2020
db: batch=76, k=14, 28 58 94 22 28 94

SPT(16)	1146409122784560499	0 72 112 124 138 154 190 204 208 222 258 274 288 300 340 412	-1635324873322
SPT(16)	1146409266939212483	0 6 30 44 104 110 128 140 174 186 204 210 270 284 308 314	-1491170221338
STPT(10)	1146409653613948781	0 2 30 32 78 80 126 128 156 158	-1104495485040
SPT(16)	1146410201720210983	0 10 78 84 106 108 114 136 138 160 166 168 190 196 264 274	-556389222838
SPT(16)	1146410682074763757	0 10 42 46 60 64 84 112 144 172 192 196 210 214 246 256	-76034670064
SPT(16)	1146410729825739449	0 18 84 120 122 128 168 170 192 194 234 240 242 278 344 362	-28283694372
STPT(10)	1146411259541068817	0 2 30 32 102 104 174 176 204 206	501431634996
SPT(16)	1146412044530910107	0 30 42 74 84 86 212 240 266 294 420 422 432 464 476 506	1286421476286
STPT(10)	1146412177014100691	0 2 30 32 60 62 90 92 120 122	1418904666870
STPT(10)	1146412189180945781	0 2 6 8 48 50 90 92 96 98	1431071511960
SPT(16)	1146412252903894309	0 12 40 72 78 90 130 172 240 282 322 334 340 372 400 412	1494794460488