Prime p₀= 1431334976442721123 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 6 18 6 28 12 86 22 86 12 28 6 18 6 30 (?)
a_n: 0 30 36 54 60 88 100 186 208 294 306 334 340 358 364 394
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: 394
Found by: Theadalus
db: batch=78, k=16, 30 6 18 6 28 12 86 22

SPT(16)	1431333986872814459	0 44 50 54 74 78 120 138 200 218 260 264 284 288 294 338	-989569906664
SPT(16)	1431334088173592501	0 6 30 72 86 98 120 140 288 308 330 342 356 398 422 428	-888269128622
STPT(10)	1431334232169211397	0 2 30 32 42 44 54 56 84 86	-744273509726
SPT(16)	1431334513753533659	0 20 92 132 140 152 182 194 210 222 252 264 272 312 384 404	-462689187464
SPT(16)	1431334533952285847	0 2 44 134 150 156 162 176 210 224 230 236 252 342 384 386	-442490435276
SPT(16)	1431334611858428723	0 14 24 68 84 110 116 140 144 168 174 200 216 260 270 284	-364584292400
SPT(16)	1431334977906106177	0 4 64 84 100 126 144 160 186 202 220 246 262 282 342 346	1463385054
SPT(13)	1431335198574613141	0 12 78 90 132 138 150 162 168 210 222 288 300	222131892018
TPT(14)	1431335237409426029	0 2 72 74 90 92 132 134 282 284 378 380 420 422	260966704906
SPT(16)	1431335268283884269	0 98 104 138 140 158 248 264 278 294 384 402 404 438 444 542	291841163146
SPT(16)	1431335553526042481	0 30 78 98 128 132 168 170 210 212 248 252 282 302 350 380	577083321358