Prime p₀= 945299660699061917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 58 2 40 2 76 2 10 2 (?)
a_n: 0 2 30 32 72 74 132 134 174 176 252 254 264 266
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: 266
Found by: HenkM
db: batch=76, k=14, 28 40 58 40 76 10

SPT(18)	945298515330046441	0 6 18 36 46 90 102 148 160 168 180 226 238 282 292 310 322 328	-1145369015476
STPT(10)	945298629416670071	0 2 6 8 48 50 90 92 96 98	-1031282391846
SPT(16)	945298661301626803	0 10 28 48 70 90 100 114 160 174 184 204 226 246 264 274	-999397435114
SPT(20)	945298883646391717	0 4 72 114 136 144 156 186 196 210 256 270 280 310 322 330 352 394 462 466	-777052670200
TPT(14)	945299009308000577	0 2 24 26 72 74 222 224 234 236 270 272 312 314	-651391061340
SPT(16)	945299614883169319	0 12 34 72 78 82 100 142 270 312 330 334 340 378 400 412	-45815892598
TPT(14)	945299825654224847	0 2 72 74 132 134 174 176 300 302 330 332 342 344	164955162930
SPT(16)	945299832798156089	0 8 44 78 150 198 218 224 228 234 254 302 374 408 444 452	172099094172
STPT(10)	945299917430301857	0 2 54 56 72 74 90 92 144 146	256731239940
SPT(18)	945299924571669397	0 22 42 52 66 112 142 184 202 234 252 294 324 370 384 394 414 436	263872607480
STPT(10)	945300458485519109	0 2 78 80 120 122 162 164 240 242	797786457192