Prime p₀= 395894061946910231 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 26 24 24 52 14 124 14 52 24 24 26 42 (?)
a_n: 0 42 68 92 116 168 182 306 320 372 396 420 446 488
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: 488
Found by: Cruncher Pete
db: batch=70, k=14, 42 26 24 24 52 14 124

SPT(16)	395893995094461469	0 28 40 42 48 58 82 84 88 90 114 124 130 132 144 172	-66852448762
SPT(14)	395894004641065499	0 44 48 60 90 104 114 134 144 158 188 200 204 248	-57305844732
SPT(16)	395894009090057671	0 12 42 58 72 76 118 138 160 180 222 226 240 256 286 298	-52856852560
TPT(12)	395894021711775071	0 2 36 38 78 80 156 158 168 170 198 200	-40235135160
SPT(14)	395894037824940779	0 14 134 150 182 222 234 248 260 300 332 348 468 482	-24121969452
SPT(14)	395894055637104593	0 8 38 78 84 98 150 218 270 284 290 330 360 368	-6309805638
SPT(14)	395894064684052709	0 20 62 84 92 102 108 134 140 150 158 180 222 242	2737142478
SPT(14)	395894096436573701	0 36 66 68 80 108 110 126 128 156 168 170 200 236	34489663470
SPT(14)	395894105849271517	0 24 34 52 66 90 126 130 166 190 204 222 232 256	43902361286
TPT(12)	395894141945662817	0 2 42 44 114 116 120 122 132 134 144 146	79998752586
SPT(14)	395894144089246819	0 18 58 64 130 144 154 228 238 252 318 324 364 382	82142336588