Prime p₀= 1691540724913156697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 94 2 10 2 28 2 40 2 (?)
a_n: 0 2 30 32 84 86 180 182 192 194 222 224 264 266
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: 266
Found by: CoolAtchOk
db: batch=79, k=14, 28 52 94 10 28 40

SPT(16)	1691540094145009001	0 38 60 62 102 116 138 150 218 230 252 266 306 308 330 368	-630768147696
TPT(14)	1691540315610544277	0 2 30 32 72 74 114 116 222 224 240 242 294 296	-409302612420
SPT(16)	1691540324265279563	0 20 36 50 56 80 138 140 174 176 234 258 264 278 294 314	-400647877134
STPT(10)	1691540327454823169	0 2 18 20 30 32 42 44 60 62	-397458333528
STPT(10)	1691540386245762431	0 2 36 38 78 80 120 122 156 158	-338667394266
SPT(16)	1691540450595267407	0 44 102 186 230 276 296 366 410 480 500 546 590 674 732 776	-274317889290
STPT(10)	1691540899465913927	0 2 30 32 72 74 114 116 144 146	174552757230
SPT(16)	1691541141335239819	0 10 22 28 52 58 118 130 132 144 204 210 234 240 252 262	416422083122
STPT(10)	1691541321630750389	0 2 48 50 60 62 72 74 120 122	596717593692
TPT(14)	1691541477138245099	0 2 12 14 90 92 120 122 162 164 210 212 222 224	752225088402
SPT(16)	1691541557188372699	0 10 18 40 120 130 132 168 172 208 210 220 300 322 330 340	832275216002