Prime p₀= 70786967005366333 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 18 42 24 4 6 14 6 4 24 42 18 36 (?)
a_n: 0 36 54 96 120 124 130 144 150 154 178 220 238 274
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: 274
Found by: emoga
db: batch=67, k=14, 36 18 42 24 4 6 14

SPT(14)	70786936746815279	0 8 18 20 42 50 60 92 102 110 132 134 144 152	-30258551054
SPT(14)	70786940301733919	0 20 68 72 98 102 120 152 170 174 200 204 252 272	-26703632414
SPT(14)	70786950384312629	0 32 38 132 140 188 192 260 264 312 320 414 420 452	-16621053704
SPT(14)	70786952398940621	0 32 42 50 68 72 90 140 158 162 180 188 198 230	-14606425712
SPT(14)	70786958537368279	0 48 108 114 120 150 160 198 208 238 244 250 310 358	-8467998054
SPT(14)	70786960492546871	0 30 42 72 80 110 140 180 210 240 248 278 290 320	-6512819462
SPT(14)	70786979955729659	0 20 62 68 168 194 200 222 228 254 354 360 402 422	12950363326
SPT(14)	70786982575164139	0 4 30 42 58 78 88 114 124 144 160 172 198 202	15569797806
SPT(14)	70786994098155067	0 22 42 84 120 126 150 256 280 286 322 364 384 406	27092788734
SPT(14)	70786996135614299	0 24 30 84 90 98 120 212 234 242 248 302 308 332	29130247966
SPT(14)	70786997960104639	0 10 12 28 78 90 100 132 142 154 204 220 222 232	30954738306