Prime p₀= 404875893716336827 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 10 20 4 18 8 22 8 18 4 20 10 12 (?)
a_n: 0 12 22 42 46 64 72 94 102 120 124 144 154 166
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: 166
Found by: Cruncher Pete
db: batch=70, k=14, 12 10 20 4 18 8 22

SPT(14)	404875796034981311	0 42 56 120 126 140 152 210 222 236 242 306 320 362	-97681355516
SPT(14)	404875807137858377	0 14 44 54 72 90 114 122 146 164 182 192 222 236	-86578478450
TPT(12)	404875827293055119	0 2 42 44 72 74 108 110 210 212 222 224	-66423281708
SPT(14)	404875863487242779	0 8 42 48 108 140 162 170 192 224 284 290 324 332	-30229094048
SPT(14)	404875879419906049	0 78 100 102 112 114 130 162 178 180 190 192 214 292	-14296430778
STPT(10)	404875891564309367	0 2 42 44 72 74 102 104 144 146	-2152027460
SPT(14)	404875899379525801	0 6 16 28 36 42 52 96 106 112 120 132 142 148	5663188974
SPT(14)	404875909071290389	0 28 64 78 84 94 108 130 144 154 160 174 210 238	15354953562
SPT(14)	404875914742724881	0 36 40 78 88 102 106 162 166 180 190 228 232 268	21026388054
SPT(14)	404875917498601001	0 6 26 66 126 146 176 192 222 242 302 342 362 368	23782264174
SPT(14)	404875919183749789	0 42 70 72 90 118 168 172 222 250 268 270 298 340	25467412962