Prime p₀= 101865312196262231 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 20 4 6 60 12 2 12 60 6 4 20 36 (?)
a_n: 0 36 56 60 66 126 138 140 152 212 218 222 242 278
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: 278
Found by: vaughan
db: batch=67, k=14, 36 20 4 6 60 12 2

SPT(16)	101865264664405507	0 4 12 16 30 40 52 94 102 144 156 166 180 184 192 196	-47531856724
SPT(14)	101865296014277491	0 22 36 40 42 70 72 76 78 106 108 112 126 148	-16181984740
TPT(12)	101865297832760879	0 2 42 44 138 140 222 224 228 230 312 314	-14363501352
SPT(14)	101865304598000707	0 12 22 30 36 54 82 84 112 130 136 144 154 166	-7598261524
SPT(14)	101865306013745737	0 16 24 36 64 66 94 162 190 192 220 232 240 256	-6182516494
SPT(14)	101865306688928371	0 28 36 66 72 88 102 196 210 226 232 262 270 298	-5507333860
SPT(14)	101865331989069751	0 12 18 22 36 42 88 120 166 172 186 190 196 208	19792807520
SPT(14)	101865352179855379	0 12 40 82 154 168 180 232 244 258 330 372 400 412	39983593148
TPT(12)	101865357587831657	0 2 24 26 30 32 84 86 180 182 240 242	45391569426
SPT(14)	101865372423224743	0 4 6 48 54 100 114 130 144 190 196 238 240 244	60226962512
SPT(14)	101865381893211799	0 52 88 90 102 130 202 210 282 310 322 324 360 412	69696949568