Prime p₀= 2112264150636531739 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 14 58 18 62 10 14 34 14 10 62 18 58 14 58 (?)
a_n: 0 58 72 130 148 210 220 234 268 282 292 354 372 430 444 502
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: 502
Found by: Landjunge
db: batch=80, k=16, 58 14 58 18 62 10 14 34

STPT(10)	2112262456585314281	0 2 66 68 108 110 150 152 216 218	-1694051217458
SPT(16)	2112262785012618949	0 40 54 58 84 88 100 124 204 228 240 244 270 274 288 328	-1365623912790
SPT(16)	2112263130061696057	0 96 102 112 130 162 222 232 234 244 304 336 354 364 370 466	-1020574835682
SPT(16)	2112263220990629881	0 96 100 108 118 166 226 228 250 252 312 360 370 378 382 478	-929645901858
SPT(16)	2112263886684307459	0 52 78 112 132 148 180 258 364 442 474 490 510 544 570 622	-263952224280
TPT(14)	2112263894641140239	0 2 30 32 60 62 102 104 228 230 348 350 360 362	-255995391500
STPT(10)	2112264326578354811	0 2 36 38 78 80 120 122 156 158	175941823072
STPT(10)	2112264934514330537	0 2 30 32 42 44 54 56 84 86	783877798798
STPT(10)	2112265458913332431	0 2 36 38 78 80 120 122 156 158	1308276800692
STPT(10)	2112265466203388729	0 2 48 50 60 62 72 74 120 122	1315566856990
SPT(16)	2112265974360027859	0 18 58 72 94 112 120 130 132 142 150 168 190 204 244 262	1823723496120