Prime p₀= 3235395086736025901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 28 2 76 2 28 2 28 2 (?)
a_n: 0 2 18 20 48 50 78 80 156 158 186 188 216 218
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: 218
Found by: gemini8
db: batch=83, k=14, 16 28 28 76 28 28

STPT(10)	3235394411035843781	0 2 6 8 48 50 90 92 96 98	-675700182120
SPT(16)	3235394447255004773	0 56 78 120 134 186 204 228 296 320 338 390 404 446 468 524	-639481021128
STPT(12)	3235394453480081909	0 2 18 20 132 134 168 170 282 284 300 302	-633255943992
STPT(10)	3235394483384111309	0 2 48 50 60 62 72 74 120 122	-603351914592
SPT(16)	3235394689546223689	0 84 90 118 154 162 184 198 244 258 280 288 324 352 358 442	-397189802212
SPT(16)	3235395037904032501	0 28 42 60 70 72 108 112 306 310 346 348 358 376 390 418	-48831993400
STPT(12)	3235395086736025919	0 2 30 32 60 62 138 140 168 170 198 200	18
SPT(16)	3235395109205505097	0 4 70 76 120 124 132 154 222 244 252 256 300 306 372 376	22469479196
SPT(16)	3235395271495434361	0 6 30 40 48 90 112 118 150 156 178 220 228 238 262 268	184759408460
SPT(16)	3235395308294024189	0 12 42 68 72 108 114 158 264 308 314 350 354 380 410 422	221557998288
STPT(10)	3235395525995399927	0 2 30 32 42 44 54 56 84 86	439259374026