Prime p₀= 2589721778061984119 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 12 6 20 4 86 24 46 24 86 4 20 6 12 12 (?)
a_n: 0 12 24 30 50 54 140 164 210 234 320 324 344 350 362 374
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: 374
Found by: fzs600
db: batch=82, k=16, 12 12 6 20 4 86 24 46

SPT(16)	2589720923991264977	0 12 26 72 86 104 110 116 210 216 222 240 254 300 314 326	-854070719142
STPT(10)	2589720965265854657	0 2 12 14 42 44 72 74 84 86	-812796129462
STPT(10)	2589721125144437057	0 2 12 14 72 74 132 134 144 146	-652917547062
STPT(10)	2589721382463984311	0 2 6 8 48 50 90 92 96 98	-395597999808
SPT(16)	2589721550936947729	0 18 78 84 100 112 162 172 180 190 240 252 268 274 334 352	-227125036390
SPT(16)	2589721738091501311	0 28 36 90 96 112 138 172 246 280 306 322 328 382 390 418	-39970482808
STPT(10)	2589721859384099351	0 2 6 8 18 20 30 32 36 38	81322115232
STPT(10)	2589722022996759821	0 2 30 32 78 80 126 128 156 158	244934775702
SPT(16)	2589722114005265549	0 44 60 78 104 198 224 228 230 234 260 354 380 398 414 458	335943281430
TPT(14)	2589722325927798209	0 2 30 32 78 80 108 110 150 152 198 200 222 224	547865814090
SPT(16)	2589722949899350093	0 10 28 66 70 100 124 126 208 210 234 264 268 306 324 334	1171837365974