Prime p₀= 1379470668535568723 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 6 2 6 6 28 26 52 32 12 4 12 32 52 26 28 6 6 2 6 (?)
a_n: 0 6 8 14 20 48 74 126 158 170 174 186 218 270 296 324 330 336 338 344
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 344
Found by: Theadalus
db: batch=77, k=20, 6 2 6 6 28 26 52 32 12 4

SPT(18)	1379469893409030707	0 6 14 20 44 96 114 140 152 204 216 242 260 312 336 342 350 356	-775126538016
STPT(10)	1379470276618373741	0 2 6 8 48 50 90 92 96 98	-391917194982
SPT(16)	1379470290244932863	0 20 68 168 176 194 246 300 314 368 420 438 446 546 594 614	-378290635860
SPT(16)	1379470312072301819	0 38 54 68 84 108 192 194 198 200 284 308 324 338 354 392	-356463266904
SPT(16)	1379470432899229199	0 20 42 48 78 138 152 158 162 168 182 242 272 278 300 320	-235636339524
STPT(10)	1379470559489992601	0 2 30 32 78 80 126 128 156 158	-109045576122
STPT(12)	1379470690619094209	0 2 42 44 78 80 132 134 168 170 210 212	22083525486
TPT(14)	1379471074356629171	0 2 30 32 36 38 78 80 108 110 156 158 168 170	405821060448
SPT(16)	1379471418446087063	0 18 38 44 66 104 126 128 186 188 210 248 270 276 296 314	749910518340
SPT(16)	1379471724906955279	0 40 42 52 118 130 172 178 204 210 252 264 330 340 342 382	1056371386556
SPT(16)	1379471750443936739	0 2 20 38 44 50 62 104 108 150 162 168 174 192 210 212	1081908368016