Prime p₀= 11018741040124373 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 16 26 24 4 26 40 26 4 24 26 16 14 (?)
a_n: 0 14 30 56 80 84 110 150 176 180 204 230 246 260
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: 260
Found by: crashtech
db: batch=62, k=14, 14 16 26 24 4 26 40

SPT(14)	11018701498053883	0 34 36 76 88 90 106 138 154 156 168 208 210 244	-39542070490
SPT(14)	11018709369454009	0 34 130 150 168 172 198 214 240 244 262 282 378 412	-31670670364
SPT(14)	11018716269708383	0 98 108 120 126 150 168 176 194 218 224 236 246 344	-24770415990
SPT(16)	11018721447228113	0 6 14 20 38 66 78 104 150 176 188 216 234 240 248 254	-19592896260
SPT(14)	11018735877548719	0 22 28 40 42 48 60 112 124 130 132 144 150 172	-5162575654
SPT(14)	11018738368224221	0 18 42 60 62 66 126 182 242 246 248 266 290 308	-2671900152
SPT(14)	11018756233296311	0 8 38 48 78 90 92 126 128 140 170 180 210 218	15193171938
SPT(14)	11018758617019393	0 6 30 36 64 66 130 174 238 240 268 274 298 304	17576895020
SPT(14)	11018761647217847	0 12 42 96 110 116 146 216 246 252 266 320 350 362	20607093474
TPT(12)	11018763429599741	0 2 30 32 60 62 96 98 126 128 186 188	22389475368
SPT(14)	11018774460455261	0 36 48 66 78 108 140 198 230 260 272 290 302 338	33420330888