Prime p₀= 2506537947455249297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 58 2 40 2 76 2 (?)
a_n: 0 2 30 32 42 44 72 74 132 134 174 176 252 254
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: arkiss
db: batch=82, k=14, 28 10 28 58 40 76

SPT(16)	2506537211484663901	0 36 66 70 76 78 120 126 130 136 178 180 186 190 220 256	-735970585396
TPT(14)	2506537395599719367	0 2 12 14 132 134 222 224 264 266 312 314 342 344	-551855529930
STPT(10)	2506537532138301161	0 2 90 92 108 110 126 128 216 218	-415316948136
SPT(16)	2506537543647979349	0 32 50 62 98 110 132 140 180 188 210 222 258 270 288 320	-403807269948
SPT(16)	2506537566506960159	0 12 24 32 54 62 84 90 284 290 312 320 342 350 362 374	-380948289138
TPT(14)	2506537648688355257	0 2 24 26 54 56 84 86 162 164 174 176 204 206	-298766894040
SPT(16)	2506538039729397599	0 24 38 50 98 104 134 158 300 324 354 360 408 420 434 458	92274148302
SPT(16)	2506538157050083237	0 6 42 60 70 76 102 124 132 154 180 186 196 214 250 256	209594833940
SPT(16)	2506538174925822901	0 66 78 100 138 190 216 240 328 352 378 430 468 490 502 568	227470573604
TPT(14)	2506538521990338839	0 2 12 14 78 80 120 122 132 134 150 152 210 212	574535089542
SPT(16)	2506538522827490413	0 28 34 94 136 150 166 238 246 318 334 348 390 450 456 484	575372241116