Prime p₀= 391712078401015199 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 44 18 10 12 6 42 50 42 6 12 10 18 44 (?)
a_n: 0 44 62 72 84 90 132 182 224 230 242 252 270 314
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: 314
Found by: Cruncher Pete
db: batch=70, k=14, 44 18 10 12 6 42 50

TPT(12)	391711939349026937	0 2 54 56 90 92 102 104 222 224 240 242	-139051988262
SPT(14)	391712001617521807	0 46 52 54 106 112 120 136 144 150 202 204 210 256	-76783493392
SPT(14)	391712024980494761	0 2 30 32 78 152 212 228 288 362 408 410 438 440	-53420520438
SPT(14)	391712049971693527	0 40 42 66 70 72 82 114 124 126 130 154 156 196	-28429321672
SPT(14)	391712059417568509	0 34 54 58 72 78 88 114 124 130 144 148 168 202	-18983446690
SPT(14)	391712064386728297	0 34 46 64 70 94 216 400 522 546 552 570 582 616	-14014286902
SPT(14)	391712123839353817	0 10 82 90 100 112 120 154 162 174 184 192 264 274	45438338618
SPT(14)	391712125567669733	0 36 38 50 60 74 80 114 120 134 144 156 158 194	47166654534
SPT(13)	391712144934447217	0 6 30 72 90 102 156 210 222 240 282 306 312	66533432018
TPT(12)	391712156501671259	0 2 18 20 78 80 90 92 102 104 168 170	78100656060
SPT(14)	391712161037967239	0 2 8 18 30 54 60 92 98 122 134 144 150 152	82636952040