Prime p₀= 369769914793253719 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 18 32 6 4 18 20 18 4 6 32 18 34 (?)
a_n: 0 34 52 84 90 94 112 132 150 154 160 192 210 244
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: 244
Found by: Cruncher Pete
db: batch=70, k=14, 34 18 32 6 4 18 20

SPT(14)	369769861877501263	0 40 48 58 90 96 120 154 178 184 216 226 234 274	-52915752456
SPT(14)	369769870193233633	0 28 40 60 96 100 106 138 144 148 184 204 216 244	-44600020086
SPT(14)	369769877445285763	0 120 136 150 154 174 286 294 406 426 430 444 460 580	-37347967956
SPT(14)	369769885038798499	0 10 28 40 48 52 90 100 138 142 150 162 180 190	-29754455220
SPT(14)	369769896258175873	0 28 78 84 124 130 148 150 168 174 214 220 270 298	-18535077846
SPT(14)	369769912379814217	0 46 52 66 94 124 154 192 222 252 280 294 300 346	-2413439502
SPT(16)	369769920172788383	0 20 24 26 66 98 134 150 164 180 216 248 288 290 294 314	5379534664
TPT(12)	369769924208236229	0 2 12 14 30 32 42 44 72 74 108 110	9414982510
SPT(14)	369769930587945313	0 66 76 84 88 96 130 174 208 216 220 228 238 304	15794691594
SPT(14)	369769979977736293	0 76 90 154 180 186 196 228 238 244 270 334 348 424	65184482574
SPT(14)	369770010624763451	0 2 72 80 110 132 140 162 170 192 222 230 300 302	95831509732