Prime p₀= 953230990953765617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 10 2 28 2 160 2 58 2 (?)
a_n: 0 2 42 44 120 122 132 134 162 164 324 326 384 386
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: 386
Found by: HenkM
db: batch=76, k=14, 40 76 10 28 160 58

TPT(14)	953230353770130167	0 2 12 14 30 32 54 56 144 146 180 182 222 224	-637183635450
STPT(10)	953230589672615069	0 2 12 14 30 32 48 50 60 62	-401281150548
TPT(14)	953230740371752877	0 2 12 14 114 116 150 152 222 224 234 236 240 242	-250582012740
SPT(16)	953230778010629299	0 4 42 70 82 108 114 142 180 208 214 240 252 280 318 322	-212943136318
SPT(18)	953230814101837199	0 14 54 68 74 134 144 260 318 320 378 494 504 564 570 584 624 638	-176851928418
STPT(10)	953230988508078389	0 2 48 50 90 92 132 134 180 182	-2445687228
SPT(16)	953231691610747699	0 42 120 208 238 322 330 358 384 412 420 504 534 622 700 742	700656982082
SPT(16)	953231804021972617	0 16 30 52 60 70 72 90 112 130 132 142 150 172 186 202	813068207000
STPT(10)	953232007354348607	0 2 12 14 42 44 72 74 84 86	1016400582990
SPT(16)	953232430942995527	0 36 42 56 60 86 122 146 186 210 246 272 276 290 296 332	1439989229910
TPT(14)	953232623748850337	0 2 12 14 72 74 90 92 114 116 144 146 180 182	1632795084720