Prime p₀= 1143518786728870217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 28 2 28 2 34 2 40 2 (?)
a_n: 0 2 12 14 24 26 54 56 84 86 120 122 162 164
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: 164
Found by: Putin Has a Small Dick
db: batch=76, k=14, 10 10 28 28 34 40

SPT(16)	1143518298191946403	0 24 30 34 46 48 58 70 114 126 136 138 150 154 160 184	-488536923814
SPT(16)	1143518539759322171	0 68 102 132 168 176 210 242 246 278 312 320 356 386 420 488	-246969548046
STPT(10)	1143518550775748597	0 2 90 92 102 104 114 116 204 206	-235953121620
TPT(14)	1143518599619000249	0 2 30 32 72 74 78 80 108 110 150 152 162 164	-187109869968
STPT(10)	1143518647112751989	0 2 48 50 60 62 72 74 120 122	-139616118228
TPT(14)	1143518647112751989	0 2 48 50 60 62 72 74 120 122 162 164 210 212	-139616118228
SPT(16)	1143518893598526437	0 20 44 56 72 90 146 174 182 210 266 284 300 312 336 356	106869656220
STPT(12)	1143519171794309411	0 2 36 38 48 50 78 80 90 92 126 128	385065439194
STPT(10)	1143519269798411237	0 2 30 32 42 44 54 56 84 86	483069541020
TPT(14)	1143519616720634927	0 2 42 44 54 56 102 104 144 146 210 212 270 272	829991764710
SPT(16)	1143519871362378359	0 24 72 80 84 92 104 120 182 198 210 218 222 230 278 302	1084633508142