Prime p₀= 2679642414722659049 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 18 62 30 6 12 18 4 18 12 6 30 62 18 42 (?)
a_n: 0 42 60 122 152 158 170 188 192 210 222 228 258 320 338 380
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: 380
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 42 18 62 30 6 12 18 4

SPT(16)	2679641517074088607	0 24 42 76 106 144 150 172 234 256 262 300 330 364 382 406	-897648570442
STPT(10)	2679642153619932197	0 2 12 14 72 74 132 134 144 146	-261102726852
SPT(16)	2679642217100268559	0 18 42 102 150 208 222 262 300 340 354 412 460 520 544 562	-197622390490
STPT(12)	2679642245806634489	0 2 12 14 42 44 78 80 108 110 120 122	-168916024560
STPT(10)	2679642275971749887	0 2 30 32 42 44 54 56 84 86	-138750909162
STPT(10)	2679642296630805641	0 2 36 38 78 80 120 122 156 158	-118091853408
TPT(14)	2679642438282022061	0 2 30 32 78 80 120 122 156 158 186 188 258 260	23559363012
SPT(16)	2679642514510637153	0 14 18 24 84 90 114 164 210 260 284 290 350 356 360 374	99787978104
STPT(10)	2679642537910555907	0 2 30 32 42 44 54 56 84 86	123187896858
SPT(16)	2679642559017436007	0 2 50 56 66 72 92 114 182 204 224 230 240 246 294 296	144294776958
TPT(14)	2679643169146853711	0 2 126 128 168 170 228 230 240 242 258 260 306 308	754424194662