Prime p₀= 2320302686865120157 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 24 42 18 30 6 6 30 18 42 24 6 (?)
a_n: 0 6 30 72 90 120 126 132 162 180 222 246 252
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: [SG-2W]Kurzer
db: batch=81, k=13, 6 24 42 18 30 6

SPT(16)	2320301826148930343	0 20 24 44 66 80 98 108 146 156 174 188 210 230 234 254	-860716189814
STPT(10)	2320302026816373539	0 2 42 44 60 62 78 80 120 122	-660048746618
SPT(16)	2320302237141774881	0 6 30 36 66 108 116 120 128 132 140 182 212 218 242 248	-449723345276
SPT(16)	2320302513717429019	0 22 34 60 64 78 108 120 142 154 184 198 202 228 240 262	-173147691138
STPT(10)	2320302515672533277	0 2 30 32 42 44 54 56 84 86	-171192586880
SPT(16)	2320302566640331727	0 26 60 86 114 174 180 200 210 230 236 296 324 350 384 410	-120224788430
SPT(16)	2320302726784412197	0 34 64 90 102 130 156 172 174 190 216 244 256 282 312 346	39919292040
STPT(10)	2320302751547083109	0 2 78 80 120 122 162 164 240 242	64681962952
STPT(10)	2320302772833338399	0 2 42 44 120 122 198 200 240 242	85968218242
TPT(14)	2320303132563922661	0 2 36 38 78 80 108 110 126 128 138 140 150 152	445698802504
SPT(16)	2320303210698382339	0 24 28 72 78 162 174 198 244 268 280 364 370 414 418 442	523833262182