Prime p₀= 2136738558510712621 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 12 6 2 22 26 42 22 42 26 22 2 6 12 58 (?)
a_n: 0 58 70 76 78 100 126 168 190 232 258 280 282 288 300 358
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: 358
Found by: TheKillerChicken
db: batch=80, k=16, 58 12 6 2 22 26 42 22

SPT(16)	2136737258098588193	0 38 44 86 90 104 126 146 168 188 210 224 228 270 276 314	-1300412124428
STPT(12)	2136737296950464147	0 2 30 32 42 44 90 92 102 104 132 134	-1261560248474
STPT(10)	2136737592876440039	0 2 48 50 90 92 132 134 180 182	-965634272582
SPT(16)	2136737675472605041	0 6 28 30 82 96 102 118 210 226 232 246 298 300 322 328	-883038107580
STPT(10)	2136737949259272167	0 2 12 14 72 74 132 134 144 146	-609251440454
TPT(14)	2136738394248619457	0 2 84 86 174 176 240 242 312 314 324 326 372 374	-164262093164
SPT(16)	2136739147166017439	0 38 62 78 84 104 140 234 248 342 378 398 404 420 444 482	588655304818
STPT(10)	2136739667232614891	0 2 150 152 168 170 186 188 336 338	1108721902270
SPT(16)	2136739688323054043	0 20 26 38 54 78 120 140 144 164 206 230 246 258 264 284	1129812341422
SPT(16)	2136739808000704171	0 12 66 70 88 96 156 210 238 292 352 360 378 382 436 448	1249489991550
STPT(10)	2136739847838846671	0 2 36 38 78 80 120 122 156 158	1289328134050