Prime p₀= 2506381225191181193 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 24 6 2 46 20 10 26 10 20 46 2 6 24 6 (?)
a_n: 0 6 30 36 38 84 104 114 140 150 170 216 218 224 248 254
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: 254
Found by: Ben
db: batch=82, k=16, 6 24 6 2 46 20 10 26

SPT(16)	2506379459762368409	0 8 20 60 102 104 108 140 192 224 228 230 272 312 324 332	-1765428812784
SPT(16)	2506379923100646793	0 6 16 84 88 90 96 100 144 148 154 156 160 228 238 244	-1302090534400
SPT(16)	2506380245460928691	0 8 32 92 110 152 158 228 320 390 396 438 456 516 540 548	-979730252502
SPT(16)	2506380508958421269	0 12 18 32 42 54 108 144 278 314 368 380 390 404 410 422	-716232759924
TPT(14)	2506380660532794467	0 2 30 32 42 44 90 92 120 122 132 134 210 212	-564658386726
STPT(10)	2506380792774678641	0 2 6 8 48 50 90 92 96 98	-432416502552
STPT(10)	2506381347276351287	0 2 12 14 42 44 72 74 84 86	122085170094
TPT(14)	2506381747852529639	0 2 30 32 78 80 120 122 180 182 198 200 210 212	522661348446
SPT(16)	2506381998331411283	0 14 20 30 54 110 114 128 366 380 384 440 464 474 480 494	773140230090
STPT(10)	2506382389402938647	0 2 12 14 42 44 72 74 84 86	1164211757454
SPT(16)	2506382534782041337	0 22 30 64 112 126 132 156 160 184 190 204 252 286 294 316	1309590860144