Prime p₀= 2679642217100268559 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 24 60 48 58 14 40 38 40 14 58 48 60 24 18 (?)
a_n: 0 18 42 102 150 208 222 262 300 340 354 412 460 520 544 562
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: 562
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 18 24 60 48 58 14 40 38

SPT(16)	2679640503952101407	0 12 32 92 102 116 134 144 212 222 240 254 264 324 344 356	-1713148167152
STPT(10)	2679640688618594537	0 2 12 14 72 74 132 134 144 146	-1528481674022
SPT(16)	2679640893103656263	0 38 48 60 80 90 144 174 194 224 278 288 308 320 330 368	-1323996612296
STPT(10)	2679641299399619879	0 2 42 44 60 62 78 80 120 122	-917700648680
SPT(16)	2679641517074088607	0 24 42 76 106 144 150 172 234 256 262 300 330 364 382 406	-700026179952
STPT(10)	2679642153619932197	0 2 12 14 72 74 132 134 144 146	-63480336362
STPT(12)	2679642245806634489	0 2 12 14 42 44 78 80 108 110 120 122	28706365930
STPT(10)	2679642275971749887	0 2 30 32 42 44 54 56 84 86	58871481328
STPT(10)	2679642296630805641	0 2 36 38 78 80 120 122 156 158	79530537082
SPT(16)	2679642414722659049	0 42 60 122 152 158 170 188 192 210 222 228 258 320 338 380	197622390490
TPT(14)	2679642438282022061	0 2 30 32 78 80 120 122 156 158 186 188 258 260	221181753502