Prime p₀= 1956249630582909017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 58 2 28 2 64 2 40 2 (?)
a_n: 0 2 24 26 54 56 114 116 144 146 210 212 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 22 28 58 28 64 40

SPT(16)	1956248238607947241	0 40 60 126 130 156 220 222 256 258 322 348 352 418 438 478	-1391974961776
STPT(10)	1956248485073051747	0 2 30 32 42 44 54 56 84 86	-1145509857270
SPT(16)	1956249186644238151	0 12 58 72 78 100 112 138 172 198 210 232 238 252 298 310	-443938670866
STPT(10)	1956249428376552467	0 2 54 56 72 74 90 92 144 146	-202206356550
SPT(16)	1956249500641455727	0 64 66 94 114 126 142 144 322 324 340 352 372 400 402 466	-129941453290
STPT(10)	1956249602443020551	0 2 6 8 18 20 30 32 36 38	-28139888466
STPT(10)	1956249752150328959	0 2 18 20 30 32 42 44 60 62	121567419942
STPT(10)	1956249791054144849	0 2 48 50 90 92 132 134 180 182	160471235832
SPT(16)	1956250007658312829	0 24 40 100 102 108 124 144 178 198 214 220 222 282 298 322	377075403812
SPT(16)	1956250025072477363	0 66 80 104 108 110 126 146 168 188 204 206 210 234 248 314	394489568346
SPT(16)	1956250641098392417	0 10 70 102 130 150 154 190 216 252 256 276 304 336 396 406	1010515483400