Prime p₀= 19217917375203257 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 22 54 30 56 6 22 6 56 30 54 22 14 (?)
a_n: 0 14 36 90 120 176 182 204 210 266 296 350 372 386
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 386
Found by: gaballus
db: batch=62, k=14, 14 22 54 30 56 6 22

SPT(14)	19217876583539521	0 10 82 142 150 156 172 180 196 202 210 270 342 352	-40791663736
SPT(14)	19217879738277373	0 30 48 58 76 88 90 136 138 150 168 178 196 226	-37636925884
TPT(12)	19217886881871617	0 2 30 32 42 44 60 62 120 122 144 146	-30493331640
TPT(12)	19217890157290439	0 2 18 20 30 32 102 104 108 110 138 140	-27217912818
SPT(14)	19217908049723657	0 14 44 66 72 80 96 110 126 134 140 162 192 206	-9325479600
SPT(14)	19217915689796387	0 12 26 32 54 56 62 84 90 92 114 120 134 146	-1685406870
SPT(14)	19217919686961503	0 8 26 30 36 44 48 56 60 68 74 78 96 104	2311758246
TPT(14)	19217920948328741	0 2 6 8 18 20 60 62 78 80 90 92 156 158	3573125484
SPT(16)	19217923899724337	0 20 30 56 72 156 162 210 266 314 320 404 420 446 456 476	6524521080
SPT(14)	19217928550908203	0 8 18 20 26 128 134 180 186 288 294 296 306 314	11175704946
SPT(14)	19217939366158349	0 42 68 120 134 150 164 318 332 348 362 414 440 482	21990955092