Prime p₀= 1246437663859662809 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 46 14 4 6 32 54 4 54 32 6 4 14 46 8 (?)
a_n: 0 8 54 68 72 78 110 164 168 222 254 260 264 278 324 332
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: 332
Found by: Cruncher Pete
db: batch=77, k=16, 8 46 14 4 6 32 54 4

SPT(16)	1246436797539442627	0 42 52 60 76 82 100 112 114 126 144 150 166 174 184 226	-866320220182
STPT(10)	1246436824633920719	0 2 48 50 60 62 72 74 120 122	-839225742090
STPT(10)	1246436908666233371	0 2 6 8 48 50 90 92 96 98	-755193429438
STPT(10)	1246437349522378631	0 2 36 38 78 80 120 122 156 158	-314337284178
SPT(16)	1246437401427842341	0 16 46 60 78 82 100 120 148 168 186 190 208 222 252 268	-262431820468
SPT(16)	1246437446795809049	0 14 78 104 122 132 150 192 290 332 350 360 378 404 468 482	-217063853760
SPT(16)	1246437730589938253	0 6 14 50 56 98 138 156 188 206 246 288 294 330 338 344	66730275444
SPT(16)	1246437823814378729	0 14 78 80 92 98 108 114 128 134 144 150 162 164 228 242	159954715920
SPT(16)	1246437838574827273	0 16 40 48 64 100 148 166 198 216 264 300 316 324 348 364	174715164464
STPT(10)	1246437927283836641	0 2 6 8 48 50 90 92 96 98	263424173832
STPT(10)	1246438025536664687	0 2 24 26 42 44 60 62 84 86	361677001878