Prime p₀= 2312199308506600309 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 6 70 24 12 6 12 38 12 6 12 24 70 6 12 (?)
a_n: 0 12 18 88 112 124 130 142 180 192 198 210 234 304 310 322
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: 322
Found by: Landjunge
db: batch=81, k=16, 12 6 70 24 12 6 12 38

SPT(16)	2312195681255163827	0 2 62 74 96 132 144 156 170 182 194 230 252 264 324 326	-3627251436482
SPT(16)	2312195877760936499	0 50 120 132 138 180 192 224 288 320 332 374 380 392 462 512	-3430745663810
SPT(16)	2312196464402210777	0 20 54 80 84 122 140 144 152 156 174 212 216 242 276 296	-2844104389532
SPT(16)	2312196995152842103	0 18 64 88 96 166 186 196 228 238 258 328 336 360 406 424	-2313353758206
SPT(16)	2312197950912887119	0 4 24 40 70 78 82 108 124 150 154 162 192 208 228 232	-1357593713190
SPT(16)	2312198558613415837	0 46 70 82 106 120 154 214 222 282 316 330 354 366 390 436	-749893184472
STPT(10)	2312199348763322969	0 2 18 20 30 32 42 44 60 62	40256722660
SPT(16)	2312199525011431771	0 16 18 28 46 48 58 130 198 270 280 282 300 310 312 328	216504831462
SPT(16)	2312199594231090731	0 18 26 32 56 60 66 102 146 182 188 192 216 222 230 248	285724490422
STPT(10)	2312199859809176411	0 2 6 8 48 50 90 92 96 98	551302576102
STPT(10)	2312200073990293181	0 2 36 38 78 80 120 122 156 158	765483692872