Prime p₀= 2499461425827337837 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 18 22 48 18 116 4 26 4 116 18 48 22 18 24 (?)
a_n: 0 24 42 64 112 130 246 250 276 280 396 414 462 484 502 526
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: 526
Found by: JayPi
db: batch=82, k=16, 24 18 22 48 18 116 4 26

SPT(16)	2499459089024582497	0 4 30 42 72 112 124 222 352 450 462 502 532 544 570 574	-2336802755340
STPT(10)	2499459183601359389	0 2 12 14 90 92 168 170 180 182	-2242225978448
STPT(10)	2499460051221198311	0 2 36 38 78 80 120 122 156 158	-1374606139526
STPT(10)	2499460387018910639	0 2 18 20 30 32 42 44 60 62	-1038808427198
TPT(14)	2499461056614201941	0 2 30 32 48 50 216 218 228 230 240 242 336 338	-369213135896
STPT(10)	2499461259020658131	0 2 36 38 108 110 180 182 216 218	-166806679706
SPT(16)	2499461545347733651	0 42 88 90 102 130 132 142 168 178 180 208 220 222 268 310	119520395814
SPT(16)	2499461595640376243	0 30 90 108 128 156 188 204 260 276 308 336 356 374 434 464	169813038406
STPT(10)	2499462187404044921	0 2 36 38 78 80 120 122 156 158	761576707084
STPT(10)	2499462364044967301	0 2 36 38 78 80 120 122 156 158	938217629464
SPT(16)	2499462505034227081	0 46 60 70 82 96 100 118 180 198 202 216 228 238 252 298	1079206889244