Prime p₀= 2867049883064375627 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 14 34 2 18 16 6 44 6 16 18 2 34 14 36 (?)
a_n: 0 36 50 84 86 104 120 126 170 176 192 210 212 246 260 296
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: [SG]ATA-Rolf
db: batch=82, k=16, 36 14 34 2 18 16 6 44

SPT(16)	2867048505914145079	0 18 72 88 150 154 174 192 220 238 258 262 324 340 394 412	-1377150230548
SPT(13)	2867048817410279063	0 6 18 48 60 90 108 126 156 168 198 210 216	-1065654096564
SPT(16)	2867049261117017393	0 18 20 98 126 156 170 176 180 186 200 230 258 336 338 356	-621947358234
SPT(16)	2867049437497684871	0 12 26 68 120 126 168 180 188 200 242 248 300 342 356 368	-445566690756
STPT(10)	2867049792188315021	0 2 36 38 78 80 120 122 156 158	-90876060606
SPT(16)	2867049864469909243	0 4 6 24 88 118 154 220 234 300 336 366 430 448 450 454	-18594466384
SPT(18)	2867050045884886109	0 2 48 62 68 84 138 150 174 188 212 224 278 294 300 314 360 362	162820510482
SPT(16)	2867050118278174757	0 32 36 54 62 110 134 140 186 192 216 264 272 290 294 326	235213799130
SPT(16)	2867050320604006049	0 24 44 122 140 144 170 182 192 204 230 234 252 330 350 374	437539630422
STPT(10)	2867050788870674849	0 2 18 20 60 62 102 104 120 122	905806299222
SPT(16)	2867051272113965257	0 12 52 54 72 144 154 172 192 210 220 292 310 312 352 364	1389049589630