Prime p₀= 2302036617418730779 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 6 18 14 6 4 18 2 18 4 6 14 18 6 4 (?)
a_n: 0 4 10 28 42 48 52 70 72 90 94 100 114 132 138 142
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: 142
Found by: FritzB
db: batch=81, k=16, 4 6 18 14 6 4 18 2

SPT(16)	2302036033158687457	0 4 22 100 106 114 120 154 162 196 202 210 216 294 312 316	-584260043322
STPT(10)	2302036061023847411	0 2 6 8 48 50 90 92 96 98	-556394883368
SPT(16)	2302036309433868107	0 6 24 60 74 132 150 192 284 326 344 402 416 452 470 476	-307984862672
SPT(16)	2302036324395301829	0 32 54 80 90 104 110 114 140 144 150 164 174 200 222 254	-293023428950
STPT(10)	2302036404157388399	0 2 48 50 90 92 132 134 180 182	-213261342380
SPT(16)	2302036439068298237	0 32 62 74 84 114 134 156 230 252 272 302 312 324 354 386	-178350432542
STPT(10)	2302036618721687171	0 2 36 38 78 80 120 122 156 158	1302956392
SPT(16)	2302036671998882807	0 14 20 32 36 146 176 192 284 300 330 440 444 456 462 476	54580152028
SPT(16)	2302036882665059593	0 6 16 40 70 76 166 190 216 240 330 336 366 390 400 406	265246328814
SPT(16)	2302037158587913081	0 12 40 58 60 102 112 132 136 156 166 208 210 228 256 268	541169182302
STPT(10)	2302037445356817197	0 2 30 32 42 44 54 56 84 86	827938086418