Prime p₀= 958553425775652193 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 6 14 4 6 12 8 76 8 12 6 4 14 6 34 (?)
a_n: 0 34 40 54 58 64 76 84 160 168 180 186 190 204 210 244
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: 244
Found by: stoneageman
db: batch=76, k=16, 34 6 14 4 6 12 8 76

SPT(16)	958552540881287699	0 74 78 132 162 174 204 210 272 278 308 320 350 404 408 482	-884894364494
STPT(10)	958552665199759451	0 2 6 8 48 50 90 92 96 98	-760575892742
SPT(16)	958552818279663437	0 42 116 152 162 180 182 186 200 204 206 224 234 270 344 386	-607495988756
SPT(16)	958553185844288719	0 12 28 34 54 112 130 144 208 222 240 298 318 324 340 352	-239931363474
SPT(16)	958553205133894049	0 18 32 78 108 120 138 140 162 164 182 194 224 270 284 302	-220641758144
STPT(10)	958553270056436111	0 2 36 38 78 80 120 122 156 158	-155719216082
SPT(16)	958553548093274447	0 20 32 42 72 84 122 146 150 174 212 224 254 264 276 296	122317622254
SPT(16)	958553650959307213	0 10 18 28 30 150 166 198 238 270 286 406 408 418 426 436	225183655020
STPT(10)	958553697191001341	0 2 126 128 138 140 150 152 276 278	271415349148
STPT(10)	958553971791706007	0 2 90 92 132 134 174 176 264 266	546016053814
SPT(16)	958554716961720617	0 6 44 60 116 140 162 186 200 224 246 270 326 342 380 386	1291186068424