Prime p₀= 1258072119005293811 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 44 16 18 30 6 30 86 30 6 30 18 16 44 42 (?)
a_n: 0 42 86 102 120 150 156 186 272 302 308 338 356 372 416 458
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: 458
Found by: HenkM
db: batch=77, k=16, 42 44 16 18 30 6 30 86

STPT(10)	1258071141829100741	0 2 6 8 18 20 30 32 36 38	-977176193070
STPT(10)	1258071180308409239	0 2 48 50 90 92 132 134 180 182	-938696884572
SPT(16)	1258071623334040829	0 14 42 72 74 80 114 144 248 278 312 318 320 350 378 392	-495671252982
SPT(16)	1258071879604607917	0 24 64 66 84 106 120 126 160 166 180 202 220 222 262 286	-239400685894
STPT(10)	1258071932268225131	0 2 30 32 78 80 126 128 156 158	-186737068680
SPT(16)	1258072057665877001	0 38 56 60 62 66 98 116 132 150 182 186 188 192 210 248	-61339416810
STPT(10)	1258072219505942957	0 2 30 32 42 44 54 56 84 86	100500649146
SPT(16)	1258072332071409209	0 18 24 32 42 78 108 138 164 194 224 260 270 278 284 302	213066115398
SPT(16)	1258072733504077783	0 10 24 28 40 64 66 136 138 208 210 234 246 250 264 274	614498783972
SPT(16)	1258072907517120619	0 4 30 42 58 64 70 88 204 222 228 234 250 262 288 292	788511826808
STPT(10)	1258073169466050701	0 2 30 32 78 80 126 128 156 158	1050460756890