Prime p₀= 2313270173320948951 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 22 14 4 74 6 4 68 4 6 74 4 14 22 6 (?)
a_n: 0 6 28 42 46 120 126 130 198 202 208 282 286 300 322 328
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: 328
Found by: Landjunge
db: batch=81, k=16, 6 22 14 4 74 6 4 68

STPT(12)	2313268784239466267	0 2 12 14 54 56 90 92 132 134 144 146	-1389081482684
STPT(10)	2313268842363067451	0 2 36 38 78 80 120 122 156 158	-1330957881500
SPT(16)	2313269404251050009	0 18 30 32 78 200 230 248 294 312 342 464 510 512 524 542	-769069898942
STPT(10)	2313269680155121871	0 2 30 32 120 122 210 212 240 242	-493165827080
SPT(16)	2313269773063574383	0 4 6 18 58 78 84 94 210 220 226 246 286 298 300 304	-400257374568
STPT(10)	2313269961079740371	0 2 36 38 78 80 120 122 156 158	-212241208580
TPT(14)	2313270527787043007	0 2 30 32 120 122 252 254 330 332 360 362 372 374	354466094056
SPT(16)	2313270732189964973	0 6 26 48 54 60 110 126 128 144 194 200 206 228 248 254	558869016022
STPT(10)	2313270763230794597	0 2 24 26 42 44 60 62 84 86	589909845646
SPT(16)	2313270879888881963	0 24 26 30 68 74 84 110 114 140 150 156 194 198 200 224	706567933012
TPT(14)	2313271381458820931	0 2 30 32 66 68 120 122 150 152 276 278 408 410	1208137871980