Prime p₀= 2512879707654115873 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 6 8 10 2 82 2 34 2 82 2 10 8 6 10 (?)
a_n: 0 10 16 24 34 36 118 120 154 156 238 240 250 258 264 274
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: 274
Found by: JayPi
db: batch=82, k=16, 10 6 8 10 2 82 2 34

SPT(16)	2512878254558544133	0 4 46 60 114 136 154 156 184 186 204 226 280 294 336 340	-1453095571740
STPT(10)	2512878476196799157	0 2 42 44 72 74 102 104 144 146	-1231457316716
SPT(16)	2512878956202808519	0 28 54 102 112 172 174 184 228 238 240 300 310 358 384 412	-751451307354
TPT(14)	2512878969025503119	0 2 30 32 42 44 72 74 138 140 222 224 228 230	-738628612754
SPT(16)	2512879055007486479	0 2 14 30 42 72 80 110 114 144 152 182 194 210 222 224	-652646629394
STPT(10)	2512879416422183057	0 2 12 14 42 44 72 74 84 86	-291231932816
SPT(16)	2512879803468714731	0 50 98 108 122 150 156 176 282 302 308 336 350 360 408 458	95814598858
STPT(10)	2512879928731443389	0 2 18 20 30 32 42 44 60 62	221077327516
SPT(16)	2512879985768368063	0 58 66 78 108 124 138 144 190 196 210 226 256 268 276 334	278114252190
SPT(16)	2512880638824325723	0 46 48 76 94 106 118 178 186 246 258 270 288 316 318 364	931170209850
SPT(16)	2512880785153630321	0 22 78 106 148 150 166 190 198 222 238 240 282 310 366 388	1077499514448