Prime p₀= 378608015077984001 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 10 74 6 4 38 10 38 4 6 74 10 8 (?)
a_n: 0 8 18 92 98 102 140 150 188 192 198 272 282 290
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: 290
Found by: Cruncher Pete
db: batch=70, k=14, 8 10 74 6 4 38 10

SPT(16)	378607960281988211	0 78 140 162 218 228 276 290 348 362 410 420 476 498 560 638	-54795995790
SPT(14)	378607973130604961	0 8 38 50 86 132 168 170 206 252 288 300 330 338	-41947379040
SPT(14)	378607974613490891	0 20 62 68 128 132 152 168 188 192 252 258 300 320	-40464493110
SPT(14)	378607976280671903	0 24 38 44 90 110 128 150 168 188 234 240 254 278	-38797312098
SPT(14)	378607988208649351	0 28 36 40 70 78 88 120 130 138 168 172 180 208	-26869334650
SPT(14)	378607994554482481	0 22 28 40 52 78 138 220 280 306 318 330 336 358	-20523501520
SPT(14)	378608031652004681	0 42 48 92 98 108 116 132 140 150 156 200 206 248	16574020680
SPT(14)	378608038303737503	0 6 8 56 78 98 156 230 288 308 330 378 380 386	23225753502
SPT(14)	378608078910834107	0 2 60 62 74 126 132 164 170 222 234 236 294 296	63832850106
SPT(14)	378608110323963581	0 6 18 32 36 68 138 140 210 242 246 260 272 278	95245979580
SPT(14)	378608127051032441	0 36 38 56 80 98 120 128 150 168 192 210 212 248	111973048440