Prime p₀= 1115693117820370667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 70 2 106 2 16 2 22 2 (?)
a_n: 0 2 12 14 42 44 114 116 222 224 240 242 264 266
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: stoneageman
db: batch=76, k=14, 10 28 70 106 16 22

SPT(16)	1115691805277572021	0 22 42 186 196 226 232 252 400 420 426 456 466 610 630 652	-1312542798646
SPT(16)	1115692239030532027	0 12 82 90 124 126 154 186 190 222 250 252 286 294 364 376	-878789838640
STPT(10)	1115692276757858711	0 2 6 8 18 20 30 32 36 38	-841062511956
STPT(10)	1115692908697764149	0 2 18 20 30 32 42 44 60 62	-209122606518
SPT(16)	1115693000651832599	0 2 38 42 110 122 132 168 194 230 240 252 320 324 360 362	-117168538068
SPT(16)	1115693020352196841	0 10 22 36 42 52 66 88 90 112 126 136 142 156 168 178	-97468173826
SPT(16)	1115693218380081043	0 10 16 58 70 84 94 126 148 180 190 204 216 258 264 274	100559710376
SPT(16)	1115693369442065149	0 28 52 84 94 108 112 120 172 180 184 198 208 240 264 292	251621694482
SPT(16)	1115693608096462013	0 20 24 50 66 86 120 126 128 134 168 188 204 230 234 254	490276091346
STPT(10)	1115693646806248709	0 2 42 44 90 92 138 140 180 182	528985878042
SPT(16)	1115693704354588133	0 14 26 36 48 54 60 68 126 134 140 146 158 168 180 194	586534217466