Prime p₀= 2091776713378513937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 28 2 34 2 70 2 28 2 (?)
a_n: 0 2 12 14 84 86 114 116 150 152 222 224 252 254
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: CoolAtchOk
db: batch=80, k=14, 10 70 28 34 70 28

SPT(16)	2091774701263103071	0 40 48 52 190 202 210 220 330 340 348 360 498 502 510 550	-2012115410866
STPT(10)	2091775291802870447	0 2 42 44 72 74 102 104 144 146	-1421575643490
SPT(16)	2091775804467759313	0 96 100 120 138 166 168 178 198 208 210 238 256 276 280 376	-908910754624
STPT(10)	2091775837209250691	0 2 36 38 78 80 120 122 156 158	-876169263246
STPT(10)	2091776511332617799	0 2 18 20 30 32 42 44 60 62	-202045896138
SPT(16)	2091776673119848933	0 18 40 60 66 88 100 166 168 234 246 268 274 294 316 334	-40258665004
SPT(16)	2091776770926186823	0 64 70 76 78 90 94 108 136 150 154 166 168 174 180 244	57547672886
STPT(10)	2091777183081706847	0 2 24 26 42 44 60 62 84 86	469703192910
SPT(16)	2091777270604561193	0 8 36 98 150 176 234 266 288 320 378 404 456 518 546 554	557226047256
SPT(18)	2091777295035341687	0 26 56 102 114 126 132 144 156 200 212 224 230 242 254 300 330 356	581656827750
STPT(10)	2091777303251006207	0 2 12 14 72 74 132 134 144 146	589872492270