Prime p₀= 957449745552947741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 16 2 22 2 16 2 70 2 (?)
a_n: 0 2 6 8 48 50 66 68 90 92 108 110 180 182
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: 182
Found by: Theadalus
db: batch=76, k=14, 4 40 16 22 16 70

SPT(16)	957449123356888969	0 28 42 52 70 94 120 144 178 202 228 252 270 280 294 322	-622196058772
STPT(10)	957449275445262251	0 2 36 38 78 80 120 122 156 158	-470107685490
SPT(16)	957449374196009623	0 18 24 48 66 88 108 120 244 256 276 298 316 340 346 364	-371356938118
SPT(16)	957449512009424699	0 20 24 30 44 62 68 90 122 144 150 168 182 188 192 212	-233543523042
STPT(10)	957449633391919607	0 2 30 32 60 62 90 92 120 122	-112161028134
SPT(16)	957449654265224951	0 26 48 68 98 140 150 260 276 386 396 438 468 488 510 536	-91287722790
STPT(10)	957451009312656359	0 2 42 44 90 92 138 140 180 182	1263759708618
SPT(16)	957451061984900059	0 12 24 42 54 64 78 120 142 184 198 208 220 238 250 262	1316431952318
SPT(16)	957451419794279633	0 6 20 110 138 144 174 186 188 200 230 236 264 354 368 374	1674241331892
STPT(10)	957451669844342459	0 2 48 50 90 92 132 134 180 182	1924291394718
SPT(16)	957452322844894627	0 24 36 84 132 136 190 202 234 246 300 304 352 400 412 436	2577291946886