Prime p₀= 2306695888876151537 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 30 48 56 16 26 22 8 22 26 16 56 48 30 6 (?)
a_n: 0 6 36 84 140 156 182 204 212 234 260 276 332 380 410 416
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: 416
Found by: Landjunge
db: batch=81, k=16, 6 30 48 56 16 26 22 8

SPT(16)	2306694593608390543	0 10 54 60 64 78 84 88 126 130 136 150 154 160 204 214	-1295267760994
SPT(16)	2306695340529527411	0 6 48 50 72 78 92 116 132 156 170 176 198 200 242 248	-548346624126
SPT(16)	2306695400744839301	0 66 200 218 278 330 338 348 350 360 368 420 480 498 632 698	-488131312236
SPT(16)	2306695425170421833	0 8 114 126 140 150 164 176 198 210 224 234 248 260 366 374	-463705729704
SPT(16)	2306695457816714131	0 16 18 30 40 46 88 90 178 180 222 228 238 250 252 268	-431059437406
SPT(16)	2306695663753827421	0 60 82 96 102 108 132 136 162 166 190 196 202 216 238 298	-225122324116
STPT(10)	2306695905656561987	0 2 12 14 42 44 72 74 84 86	16780410450
SPT(16)	2306695952888705491	0 12 18 70 72 148 166 196 222 252 270 346 348 400 406 418	64012553954
TPT(14)	2306695959501530741	0 2 18 20 48 50 138 140 198 200 210 212 240 242	70625379204
STPT(10)	2306696121081459461	0 2 6 8 48 50 90 92 96 98	232205307924
STPT(10)	2306696259533933051	0 2 36 38 78 80 120 122 156 158	370657781514