Prime p₀= 2303051397517997719 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 120 18 66 156 30 54 54 30 156 66 18 120 (?)
a_n: 0 120 138 204 360 390 444 498 528 684 750 768 888
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: 888
Found by: WTBroughton
db: batch=81, k=13, 120 18 66 156 30 54

SPT(18)	2303050098638937407	0 6 26 86 90 102 114 116 156 170 210 212 224 236 240 300 320 326	-1298879060312
SPT(16)	2303050150521259661	0 12 18 42 48 62 86 140 228 282 306 320 326 350 356 368	-1246996738058
SPT(16)	2303050385931473077	0 34 72 82 106 144 202 210 286 294 352 390 414 424 462 496	-1011586524642
SPT(18)	2303050876107315109	0 12 34 42 54 112 132 142 154 228 240 250 270 328 340 348 370 382	-521410682610
STPT(10)	2303051118440352191	0 2 6 8 18 20 30 32 36 38	-279077645528
SPT(16)	2303051233069301437	0 6 34 42 46 100 120 130 186 196 216 270 274 282 310 316	-164448696282
SPT(16)	2303051464999725217	0 16 22 30 42 46 70 136 240 306 330 334 346 354 360 376	67481727498
SPT(16)	2303051886742120259	0 14 18 44 48 84 92 110 162 180 188 224 228 254 258 272	489224122540
STPT(10)	2303052091232437817	0 2 30 32 42 44 54 56 84 86	693714440098
STPT(10)	2303052219422423627	0 2 54 56 72 74 90 92 144 146	821904425908
SPT(16)	2303052415551708397	0 12 42 52 66 90 120 136 150 166 196 220 234 244 274 286	1018033710678