Prime p₀= 2556376146984290327 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 30 44 34 6 8 6 16 6 8 6 34 44 30 12 (?)
a_n: 0 12 42 86 120 126 134 140 156 162 170 176 210 254 284 296
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: 296
Found by: Penguin
db: batch=82, k=16, 12 30 44 34 6 8 6 16

SPT(16)	2556374407520041033	0 18 24 48 144 148 150 154 210 214 216 220 316 340 346 364	-1739464249294
SPT(16)	2556374564475587941	0 12 18 70 78 96 108 172 186 250 262 280 288 340 346 358	-1582508702386
STPT(10)	2556374928939641987	0 2 90 92 102 104 114 116 204 206	-1218044648340
STPT(10)	2556375390604341671	0 2 30 32 78 80 126 128 156 158	-756379948656
SPT(16)	2556375480758284303	0 4 24 28 34 66 70 88 96 114 118 150 156 160 180 184	-666226006024
SPT(16)	2556375839969396801	0 2 30 68 110 116 156 170 198 212 252 258 300 338 366 368	-307014893526
STPT(10)	2556376278849289019	0 2 12 14 30 32 48 50 60 62	131864998692
SPT(16)	2556376338744874039	0 10 18 28 52 58 88 94 108 114 144 150 174 184 192 202	191760583712
SPT(16)	2556376373956534973	0 8 30 68 90 104 180 204 314 338 414 428 450 488 510 518	226972244646
STPT(10)	2556376856389389347	0 2 30 32 72 74 114 116 144 146	709405099020
SPT(16)	2556376977032365391	0 62 72 168 170 198 216 218 240 242 260 288 290 386 396 458	830048075064