Prime p₀= 2488173260841204637 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 12 30 54 24 6 6 24 54 30 12 30 (?)
a_n: 0 30 42 72 126 150 156 162 186 240 270 282 312
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 312
Found by: Ben
db: batch=82, k=13, 30 12 30 54 24 6

SPT(16)	2488171804193472713	0 54 78 86 110 120 158 194 210 246 284 294 318 326 350 404	-1456647731924
SPT(16)	2488171922725553429	0 24 50 54 60 92 110 122 180 192 210 242 248 252 278 302	-1338115651208
SPT(16)	2488172043240710821	0 10 46 106 108 112 126 142 156 172 186 190 192 252 288 298	-1217600493816
SPT(16)	2488172346850762193	0 18 20 68 98 156 186 200 306 320 350 408 438 486 488 506	-913990442444
SPT(16)	2488172814715977607	0 64 82 96 162 180 232 256 270 294 346 364 430 444 462 526	-446125227030
SPT(16)	2488173007266481553	0 44 56 84 116 120 128 144 170 186 194 198 230 258 270 314	-253574723084
STPT(10)	2488173281805805409	0 2 12 14 30 32 48 50 60 62	20964600772
SPT(16)	2488174131942857851	0 10 22 30 58 100 126 132 136 142 168 210 238 246 258 268	871101653214
SPT(16)	2488174213336886821	0 70 180 186 192 196 208 252 256 300 312 316 322 328 438 508	952495682184
TPT(14)	2488174294577809181	0 2 108 110 126 128 198 200 210 212 240 242 246 248	1033736604544
SPT(16)	2488174515595285981	0 46 102 118 150 162 190 192 256 258 286 298 330 346 402 448	1254754081344