Prime p₀= 736991940664397909 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 46 2 58 2 28 2 22 2 (?)
a_n: 0 2 12 14 30 32 78 80 138 140 168 170 192 194
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: 194
Found by: Steve Dodd
db: batch=73, k=14, 10 16 46 58 28 22

SPT(16)	736990868056019231	0 12 20 26 30 56 72 92 96 116 132 158 162 168 176 188	-1072608378678
SPT(16)	736991207482919647	0 10 46 52 66 96 150 156 196 202 256 286 300 306 342 352	-733181478262
SPT(16)	736991348717121227	0 20 56 104 134 146 204 224 252 272 330 342 372 420 456 476	-591947276682
SPT(16)	736991448824994163	0 6 94 106 124 160 180 184 216 220 240 276 294 306 394 400	-491839403746
SPT(16)	736991638775362561	0 40 42 66 70 136 198 208 210 220 282 348 352 376 378 418	-301889035348
SPT(16)	736991783959304287	0 46 60 66 94 126 144 154 162 172 190 222 250 256 270 316	-156705093622
SPT(16)	736992012993936223	0 60 76 88 108 130 138 150 154 166 174 196 216 228 244 304	72329538314
STPT(10)	736992212024075009	0 2 30 32 60 62 90 92 120 122	271359677100
SPT(16)	736992270354490859	0 2 8 14 18 24 44 48 74 78 98 104 108 114 120 122	329690092950
SPT(16)	736992426094821419	0 12 68 98 108 110 150 168 272 290 330 332 342 372 428 440	485430423510
SPT(18)	736992495744567991	0 10 42 52 78 132 178 180 192 316 328 330 376 430 456 466 498 508	555080170082