Prime p₀= 2502042940193590637 starts a Tuple of 16 consecutive primes, which form 8 twin primes (TPT).
d_n: 0 2 28 2 40 2 40 2 136 2 58 2 178 2 58 2 (?)
a_n: 0 2 30 32 72 74 114 116 252 254 312 314 492 494 552 554
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 554
Found by: JayPi
db: batch=82, k=16, 28 40 40 136 58 178 58

SPT(16)	2502041632060132501	0 16 58 72 106 138 148 190 198 240 250 282 316 330 372 388	-1308133458136
STPT(10)	2502042041608298219	0 2 30 32 60 62 90 92 120 122	-898585292418
SPT(16)	2502042088449194791	0 16 108 118 156 198 208 222 346 360 370 412 450 460 552 568	-851744395846
SPT(16)	2502042467679414193	0 10 48 66 70 94 108 144 160 196 210 234 238 256 294 304	-472514176444
TPT(14)	2502042568146539069	0 2 42 44 108 110 120 122 150 152 192 194 210 212	-372047051568
TPT(14)	2502042890647576847	0 2 30 32 72 74 102 104 174 176 294 296 312 314	-49546013790
SPT(16)	2502043602247139417	0 20 32 54 60 132 230 234 260 264 362 434 440 462 474 494	662053548780
STPT(10)	2502044065266075227	0 2 42 44 72 74 102 104 144 146	1125072484590
SPT(16)	2502044143276228367	0 26 50 60 92 104 150 152 174 176 222 234 266 276 300 326	1203082637730
TPT(14)	2502044286967892729	0 2 12 14 30 32 60 62 168 170 192 194 270 272	1346774302092
TPT(14)	2502044728773179477	0 2 24 26 60 62 84 86 114 116 222 224 294 296	1788579588840