Prime p₀= 70786958537368279 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 48 60 6 6 30 10 38 10 30 6 6 60 48 (?)
a_n: 0 48 108 114 120 150 160 198 208 238 244 250 310 358
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: 358
Found by: emoga
db: batch=67, k=14, 48 60 6 6 30 10 38

TPT(12)	70786915288342541	0 2 30 32 78 80 96 98 120 122 138 140	-43249025738
SPT(14)	70786934931588217	0 4 124 132 136 156 172 264 280 300 304 312 432 436	-23605780062
SPT(14)	70786936746815279	0 8 18 20 42 50 60 92 102 110 132 134 144 152	-21790553000
SPT(14)	70786940301733919	0 20 68 72 98 102 120 152 170 174 200 204 252 272	-18235634360
SPT(14)	70786950384312629	0 32 38 132 140 188 192 260 264 312 320 414 420 452	-8153055650
SPT(14)	70786952398940621	0 32 42 50 68 72 90 140 158 162 180 188 198 230	-6138427658
SPT(14)	70786960492546871	0 30 42 72 80 110 140 180 210 240 248 278 290 320	1955178592
SPT(14)	70786967005366333	0 36 54 96 120 124 130 144 150 154 178 220 238 274	8467998054
SPT(14)	70786979955729659	0 20 62 68 168 194 200 222 228 254 354 360 402 422	21418361380
SPT(14)	70786982575164139	0 4 30 42 58 78 88 114 124 144 160 172 198 202	24037795860
SPT(14)	70786994098155067	0 22 42 84 120 126 150 256 280 286 322 364 384 406	35560786788