Prime p₀= 2579489582231080019 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 12 22 60 30 6 42 2 42 6 30 60 22 12 8 (?)
a_n: 0 8 20 42 102 132 138 180 182 224 230 260 320 342 354 362
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: 362
Found by: Penguin
db: batch=82, k=16, 8 12 22 60 30 6 42 2

STPT(10)	2579487985200853379	0 2 42 44 120 122 198 200 240 242	-1597030226640
SPT(16)	2579488442232607637	0 6 62 114 144 146 162 174 182 194 210 212 242 294 350 356	-1139998472382
SPT(16)	2579488492352104549	0 28 40 132 138 160 208 210 220 222 270 292 298 390 402 430	-1089878975470
SPT(16)	2579488648966781873	0 6 24 68 90 168 188 194 270 276 296 374 396 440 458 464	-933264298146
SPT(16)	2579489220660113743	0 10 36 70 88 108 130 168 178 216 238 258 276 310 336 346	-361570966276
SPT(16)	2579489297095684741	0 18 52 60 88 108 136 160 228 252 280 300 328 336 370 388	-285135395278
STPT(10)	2579490161426289467	0 2 30 32 72 74 114 116 144 146	579195209448
SPT(16)	2579490221654447669	0 8 38 50 60 78 98 102 140 144 164 182 192 204 234 242	639423367650
SPT(16)	2579490572403030709	0 10 22 24 30 34 42 90 142 190 198 202 208 210 222 232	990171950690
STPT(10)	2579490730111868381	0 2 6 8 48 50 90 92 96 98	1147880788362
STPT(10)	2579490770320300997	0 2 30 32 42 44 54 56 84 86	1188089220978