Prime p₀= 764231632414851617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 46 2 10 2 94 2 142 2 (?)
a_n: 0 2 42 44 84 86 132 134 144 146 240 242 384 386
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: [SG]steini
db: batch=73, k=14, 40 40 46 10 94 142

SPT(16)	764230889174618227	0 10 22 60 66 84 96 126 130 160 172 190 196 234 246 256	-743240233390
STPT(10)	764231340255069959	0 2 18 20 30 32 42 44 60 62	-292159781658
SPT(16)	764231440151484199	0 10 42 94 124 168 220 252 310 342 394 438 468 520 552 562	-192263367418
SPT(16)	764231449635191843	0 48 50 56 68 84 96 116 198 218 230 246 258 264 266 314	-182779659774
STPT(10)	764231592688867517	0 2 30 32 42 44 54 56 84 86	-39725984100
STPT(10)	764231618582061821	0 2 36 38 78 80 120 122 156 158	-13832789796
SPT(16)	764231701971870907	0 40 54 82 106 154 190 222 244 276 312 360 384 412 426 466	69557019290
TPT(14)	764231737162813691	0 2 30 32 36 38 90 92 156 158 168 170 258 260	104747962074
STPT(10)	764231784718674869	0 2 42 44 60 62 78 80 120 122	152303823252
SPT(16)	764231804618497433	0 8 36 38 60 84 150 164 180 194 260 284 306 308 336 344	172203645816
SPT(20)	764231865731419817	0 26 44 50 54 72 110 114 116 134 162 180 182 186 224 242 246 252 270 296	233316568200