Prime p₀= 2397238671408491861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 88 2 40 2 76 2 28 2 (?)
a_n: 0 2 60 62 66 68 156 158 198 200 276 278 306 308
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: 308
Found by: Odd-Rod
db: batch=81, k=14, 58 4 88 40 76 28

SPT(16)	2397237549661217633	0 44 54 66 104 144 164 170 210 216 236 276 314 326 336 380	-1121747274228
SPT(16)	2397237835141896203	0 74 78 114 134 156 176 186 188 198 218 240 260 296 300 374	-836266595658
SPT(16)	2397238032366510017	0 20 42 62 80 104 122 132 164 174 192 216 234 254 276 296	-639041981844
SPT(16)	2397238090409802173	0 20 48 66 86 134 176 186 188 198 240 288 308 326 354 374	-580998689688
STPT(10)	2397238503621388121	0 2 36 38 78 80 120 122 156 158	-167787103740
TPT(14)	2397238506344615117	0 2 30 32 84 86 90 92 114 116 162 164 174 176	-165063876744
SPT(16)	2397238836528930077	0 24 50 54 66 102 104 162 164 222 224 260 272 276 302 326	165120438216
STPT(10)	2397238915398596117	0 2 30 32 60 62 90 92 120 122	243990104256
SPT(16)	2397239401804766471	0 56 68 72 80 96 110 122 156 168 182 198 206 210 222 278	730396274610
SPT(16)	2397239497921594189	0 22 28 58 112 132 138 178 222 262 268 288 342 372 378 400	826513102328
STPT(10)	2397239599875730637	0 2 24 26 42 44 60 62 84 86	928467238776