Prime p₀= 2537523237662367221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 34 2 10 2 28 2 46 2 58 2 (?)
a_n: 0 2 120 122 156 158 168 170 198 200 246 248 306 308
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: conf [MM]
db: batch=82, k=14, 118 34 10 28 46 58

STPT(10)	2537522479007251031	0 2 6 8 18 20 30 32 36 38	-758655116190
SPT(16)	2537522609596718407	0 52 72 82 96 100 130 156 166 192 222 226 240 250 270 322	-628065648814
STPT(10)	2537522678279980661	0 2 6 8 48 50 90 92 96 98	-559382386560
SPT(18)	2537522765568204371	0 12 18 80 90 96 116 122 132 206 216 222 242 248 258 320 326 338	-472094162850
STPT(10)	2537522940072505841	0 2 30 32 78 80 126 128 156 158	-297589861380
STPT(10)	2537523083619977639	0 2 42 44 90 92 138 140 180 182	-154042389582
SPT(16)	2537523449141292179	0 2 38 42 102 144 152 168 194 210 218 260 320 324 360 362	211478924958
STPT(10)	2537523882419397197	0 2 60 62 72 74 84 86 144 146	644757029976
SPT(16)	2537524163019788251	0 22 60 102 130 138 148 162 196 210 220 228 256 298 336 358	925357421030
SPT(16)	2537524376072825429	0 50 104 110 122 210 218 224 288 294 302 390 402 408 462 512	1138410458208
STPT(10)	2537524455588986621	0 2 6 8 18 20 30 32 36 38	1217926619400