Prime p₀= 2323346317931340319 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 20 12 18 22 12 2 4 2 12 22 18 12 20 28 (?)
a_n: 0 28 48 60 78 100 112 114 118 120 132 154 172 184 204 232
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: 232
Found by: Landjunge
db: batch=81, k=16, 28 20 12 18 22 12 2 4

STPT(10)	2323344841946573741	0 2 6 8 18 20 30 32 36 38	-1475984766578
STPT(10)	2323344868686358799	0 2 42 44 60 62 78 80 120 122	-1449244981520
SPT(16)	2323345223617277281	0 28 36 42 66 88 120 136 162 178 210 232 256 262 270 298	-1094314063038
SPT(16)	2323345367628095557	0 40 60 106 130 132 220 222 244 246 334 336 360 406 426 466	-950303244762
STPT(10)	2323345526027141459	0 2 18 20 30 32 42 44 60 62	-791904198860
STPT(10)	2323345593819746339	0 2 18 20 30 32 42 44 60 62	-724111593980
STPT(10)	2323346391156490121	0 2 36 38 78 80 120 122 156 158	73225149802
SPT(16)	2323346589355788863	0 14 26 44 60 80 86 96 158 168 174 194 210 228 240 254	271424448544
SPT(16)	2323346600609017259	0 30 42 68 72 78 90 128 222 260 272 278 282 308 320 350	282677676940
SPT(16)	2323346614804126033	0 28 58 66 78 106 118 156 238 276 288 316 328 336 366 394	296872785714
SPT(16)	2323346648557675339	0 4 18 58 82 174 184 190 222 228 238 330 354 394 408 412	330626335020