Prime p₀= 1291152138462693467 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 4 2 52 2 118 2 58 2 (?)
a_n: 0 2 42 44 114 116 120 122 174 176 294 296 354 356
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: 356
Found by: mikey
db: batch=77, k=14, 40 70 4 52 118 58

SPT(16)	1291150903335986221	0 22 42 70 78 90 132 228 232 328 370 382 390 418 438 460	-1235126707246
STPT(10)	1291150948403134961	0 2 6 8 18 20 30 32 36 38	-1190059558506
SPT(13)	1291151487299049833	0 30 36 78 150 156 198 240 246 318 360 366 396	-651163643634
SPT(16)	1291151634604559659	0 10 42 54 64 84 112 120 142 150 178 198 208 220 252 262	-503858133808
SPT(16)	1291151822805199711	0 30 90 96 130 142 160 186 196 222 240 252 286 292 352 382	-315657493756
STPT(10)	1291151833799812937	0 2 30 32 42 44 54 56 84 86	-304662880530
STPT(10)	1291152141307457249	0 2 42 44 60 62 78 80 120 122	2844763782
SPT(16)	1291152189432118267	0 16 42 46 72 90 102 112 150 160 172 190 216 220 246 262	50969424800
STPT(10)	1291152328951607567	0 2 30 32 42 44 54 56 84 86	190488914100
SPT(16)	1291153038801647981	0 32 50 56 126 150 168 170 198 200 218 242 312 318 336 368	900338954514
STPT(10)	1291153116001838939	0 2 48 50 90 92 132 134 180 182	977539145472