Prime p₀= 2362411470775341001 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 20 58 14 6 12 18 16 18 12 6 14 58 20 58 (?)
a_n: 0 58 78 136 150 156 168 186 202 220 232 238 252 310 330 388
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: 388
Found by: Landjunge
db: batch=81, k=16, 58 20 58 14 6 12 18 16

SPT(16)	2362411180116642947	0 12 92 164 180 230 234 252 272 290 294 344 360 432 512 524	-290658698054
SPT(16)	2362411265642076293	0 14 56 98 110 144 164 186 218 240 260 294 306 348 390 404	-205133264708
SPT(16)	2362411273697391479	0 2 8 38 68 120 138 162 170 194 212 264 294 324 330 332	-197077949522
SPT(16)	2362411351433525519	0 50 74 80 102 134 140 180 182 222 228 260 282 288 312 362	-119341815482
SPT(16)	2362411417064112377	0 54 62 74 132 144 174 182 264 272 302 314 372 384 392 446	-53711228624
SPT(16)	2362411452250747889	0 18 60 78 84 92 102 120 122 140 150 158 164 182 224 242	-18524593112
STPT(10)	2362411671841482587	0 2 42 44 72 74 102 104 144 146	201066141586
STPT(10)	2362411762119830537	0 2 30 32 42 44 54 56 84 86	291344489536
STPT(10)	2362411765345080467	0 2 12 14 72 74 132 134 144 146	294569739466
SPT(16)	2362411772038327829	0 2 18 24 72 80 92 140 222 270 282 290 338 344 360 362	301262986828
SPT(16)	2362412451750874583	0 36 54 78 110 158 168 188 216 236 246 294 326 350 368 404	980975533582