Prime p₀= 1022232138368258849 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 30 2 6 42 36 12 22 12 36 42 6 2 30 12 (?)
a_n: 0 12 42 44 50 92 128 140 162 174 210 252 258 260 290 302
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: 302
Found by: stoneageman
db: batch=76, k=16, 12 30 2 6 42 36 12 22

SPT(18)	1022230909789915219	0 28 64 70 84 130 132 168 198 274 304 340 342 388 402 408 444 472	-1228578343630
SPT(18)	1022231024932356361	0 28 42 48 52 82 118 156 178 240 262 300 336 366 370 376 390 418	-1113435902488
STPT(10)	1022231114129665439	0 2 18 20 30 32 42 44 60 62	-1024238593410
TPT(14)	1022231508744393557	0 2 30 32 120 122 150 152 162 164 264 266 294 296	-629623865292
SPT(16)	1022231682183944783	0 24 26 38 66 80 90 108 176 194 204 218 246 258 260 284	-456184314066
SPT(16)	1022231884699822961	0 2 50 98 120 132 170 212 258 300 338 350 372 420 468 470	-253668435888
SPT(16)	1022232323550599719	0 34 54 64 132 208 220 264 328 372 384 460 528 538 558 592	185182340870
STPT(10)	1022232356775369917	0 2 90 92 102 104 114 116 204 206	218407111068
SPT(16)	1022232374698732117	0 4 34 40 60 130 144 172 204 232 246 316 336 342 372 376	236330473268
SPT(16)	1022232549274421971	0 12 70 78 82 150 168 178 222 232 250 318 322 330 388 400	410906163122
STPT(10)	1022232681821621507	0 2 12 14 42 44 72 74 84 86	543453362658