Prime p₀= 1263646783933660517 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 10 2 64 2 58 2 82 2 (?)
a_n: 0 2 24 26 72 74 84 86 150 152 210 212 294 296
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: 296
Found by: rlacr
db: batch=77, k=14, 22 46 10 64 58 82

SPT(16)	1263645321476784131	0 8 18 32 42 62 72 98 120 146 156 176 186 200 210 218	-1462456876386
TPT(14)	1263645944756091899	0 2 30 32 90 92 120 122 162 164 168 170 228 230	-839177568618
STPT(10)	1263646290977476919	0 2 42 44 60 62 78 80 120 122	-492956183598
STPT(10)	1263646353174976679	0 2 18 20 30 32 42 44 60 62	-430758683838
SPT(16)	1263646688251755877	0 4 6 10 132 136 150 172 174 196 210 214 336 340 342 346	-95681904640
SPT(16)	1263646742694298241	0 2 6 12 42 66 90 132 146 188 212 236 266 272 276 278	-41239362276
STPT(10)	1263646805366077787	0 2 30 32 72 74 114 116 144 146	21432417270
STPT(10)	1263646993760412029	0 2 18 20 30 32 42 44 60 62	209826751512
SPT(16)	1263647211664473121	0 6 40 72 156 162 166 168 280 282 286 292 376 408 442 448	427730812604
SPT(16)	1263647441416713151	0 16 22 108 112 120 126 130 168 172 178 186 190 276 282 298	657483052634
SPT(16)	1263647494043032919	0 8 14 32 60 120 122 164 168 210 212 272 300 318 324 332	710109372402