Prime p₀= 1012087080825262727 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 30 24 30 30 6 6 30 30 24 30 6 (?)
a_n: 0 6 36 60 90 120 126 132 162 192 216 246 252
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: 252
Found by: Theadalus
db: batch=76, k=13, 6 30 24 30 30 6

SPT(16)	1012086863039775209	0 14 38 44 78 102 122 170 192 240 260 284 318 324 348 362	-217785487518
SPT(16)	1012086871534865017	0 12 24 30 84 100 106 126 220 240 246 262 316 322 334 346	-209290397710
SPT(16)	1012086882224206667	0 26 30 84 86 110 120 132 134 146 156 180 182 236 240 266	-198601056060
STPT(10)	1012086926560245071	0 2 6 8 48 50 90 92 96 98	-154265017656
SPT(16)	1012086927967627843	0 4 24 28 48 60 84 108 130 154 178 190 210 214 234 238	-152857634884
SPT(16)	1012086950159284801	0 16 28 36 42 58 70 120 208 258 270 286 292 300 312 328	-130665977926
SPT(16)	1012087257313200473	0 14 20 30 96 104 108 116 138 146 150 158 224 234 240 254	176487937746
SPT(16)	1012087344684252931	0 30 42 78 96 112 118 196 252 330 336 352 370 406 418 448	263858990204
STPT(10)	1012087366446586481	0 2 6 8 18 20 30 32 36 38	285621323754
TPT(14)	1012087937159905157	0 2 30 32 54 56 192 194 264 266 294 296 312 314	856334642430
SPT(16)	1012088180838250837	0 6 10 12 34 72 90 94 132 136 154 192 214 216 220 226	1100012988110