Prime p₀= 2313142732420001863 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 12 2 126 82 20 28 14 28 20 82 126 2 12 16 (?)
a_n: 0 16 28 30 156 238 258 286 300 328 348 430 556 558 570 586
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: 586
Found by: MarkRBright
db: batch=81, k=16, 16 12 2 126 82 20 28 14

SPT(16)	2313140447840552459	0 44 72 78 108 122 140 150 182 192 210 224 254 260 288 332	-2284579449404
SPT(16)	2313141542875812521	0 32 38 56 78 98 122 132 176 186 210 230 252 270 276 308	-1189544189342
STPT(10)	2313141596998161959	0 2 72 74 120 122 168 170 240 242	-1135421839904
SPT(16)	2313141683037305327	0 26 36 62 84 114 126 224 252 350 362 392 414 440 450 476	-1049382696536
SPT(16)	2313142044499586359	0 10 24 34 64 78 82 94 108 120 124 138 168 178 192 202	-687920415504
SPT(16)	2313142480227170791	0 28 52 82 96 112 138 148 180 190 216 232 246 276 300 328	-252192831072
STPT(10)	2313142952330714261	0 2 6 8 18 20 30 32 36 38	219910712398
SPT(16)	2313143363056990367	0 2 24 54 72 74 80 92 102 114 120 122 140 170 192 194	630636988504
SPT(16)	2313143557153441039	0 82 88 108 124 132 178 234 238 294 340 348 364 384 390 472	824733439176
SPT(16)	2313143749635357967	0 6 12 30 40 52 84 102 124 142 174 186 196 214 220 226	1017215356104
STPT(10)	2313144131612616851	0 2 6 8 48 50 90 92 96 98	1399192614988