Prime p₀= 2625566767512791777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 106 2 40 2 4 2 22 2 (?)
a_n: 0 2 24 26 54 56 162 164 204 206 210 212 234 236
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: 236
Found by: JayPi
db: batch=82, k=14, 22 28 106 40 4 22

SPT(16)	2625563836124481979	0 18 30 88 100 102 112 130 150 168 178 180 192 250 262 280	-2931388309798
TPT(14)	2625564191247599741	0 2 60 62 126 128 138 140 150 152 168 170 228 230	-2576265192036
SPT(16)	2625564543350032631	0 2 50 72 110 120 140 152 198 210 230 240 278 300 348 350	-2224162759146
STPT(10)	2625565079973422729	0 2 18 20 30 32 42 44 60 62	-1687539369048
SPT(16)	2625566170672736063	0 6 24 54 66 78 104 134 180 210 236 248 260 290 308 314	-596840055714
SPT(16)	2625566530955559377	0 20 26 30 92 104 114 174 182 242 252 264 326 330 336 356	-236557232400
TPT(14)	2625566774019358019	0 2 12 14 198 200 300 302 342 344 420 422 438 440	6506566242
SPT(16)	2625566868679473071	0 2 26 30 56 86 110 140 192 222 246 276 302 306 330 332	101166681294
SPT(16)	2625567030935303281	0 12 22 60 82 88 142 186 292 336 390 396 418 456 466 478	263422511504
STPT(12)	2625567181472178857	0 2 12 14 42 44 60 62 90 92 102 104	413959387080
STPT(10)	2625567314034929819	0 2 42 44 60 62 78 80 120 122	546522138042