Prime p₀= 2309658296975779721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 88 2 10 2 28 2 34 2 52 2 (?)
a_n: 0 2 138 140 228 230 240 242 270 272 306 308 360 362
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: 362
Found by: FritzB
db: batch=81, k=14, 136 88 10 28 34 52

STPT(10)	2309655517373847449	0 2 78 80 120 122 162 164 240 242	-2779601932272
SPT(16)	2309655846378280963	0 6 24 28 76 78 96 120 124 148 166 168 216 220 238 244	-2450597498758
SPT(16)	2309656647113955901	0 12 48 72 90 102 112 138 172 198 208 220 238 262 298 310	-1649861823820
SPT(16)	2309657000103453079	0 28 48 60 70 72 78 112 120 154 160 162 172 184 204 232	-1296872326642
SPT(16)	2309657039531933459	0 14 32 44 78 102 194 200 222 228 320 344 378 390 408 422	-1257443846262
STPT(10)	2309657258044273349	0 2 42 44 120 122 198 200 240 242	-1038931506372
SPT(16)	2309658538081919987	0 30 44 56 72 92 134 176 210 252 294 314 330 342 356 386	241106140266
STPT(10)	2309658810148959077	0 2 12 14 42 44 72 74 84 86	513173179356
SPT(16)	2309658857140334989	0 24 28 48 58 70 90 100 102 112 132 144 154 174 178 202	560164555268
TPT(14)	2309658879559488227	0 2 42 44 84 86 222 224 324 326 330 332 390 392	582583708506
STPT(10)	2309659150302834311	0 2 36 38 78 80 120 122 156 158	853327054590