Prime p₀= 123208909291287817 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 24 46 12 20 30 40 30 20 12 46 24 30 (?)
a_n: 0 30 54 100 112 132 162 202 232 252 264 310 334 364
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: 364
Found by: amazing
db: batch=67, k=14, 30 24 46 12 20 30 40

SPT(14)	123208823316236113	0 4 24 40 66 124 126 154 156 214 240 256 276 280	-85975051704
SPT(14)	123208824060000713	0 14 48 74 86 90 116 168 194 198 210 236 270 284	-85231287104
SPT(14)	123208826817145933	0 10 28 30 36 106 114 160 168 238 244 246 264 274	-82474141884
SPT(16)	123208875509844431	0 2 30 72 102 168 170 182 216 228 230 296 326 368 396 398	-33781443386
TPT(12)	123208879373973089	0 2 12 14 48 50 72 74 102 104 138 140	-29917314728
SPT(16)	123208885017678149	0 18 42 60 72 92 104 140 162 198 210 230 242 260 284 302	-24273609668
SPT(14)	123208919722799587	0 6 40 52 76 102 124 132 154 180 204 216 250 256	10431511770
SPT(14)	123208939508367347	0 20 26 50 56 60 96 104 140 144 150 174 180 200	30217079530
SPT(14)	123208942114467109	0 4 70 82 94 108 160 222 274 288 300 312 378 382	32823179292
TPT(12)	123208954773304091	0 2 30 32 126 128 150 152 198 200 240 242	45482016274
SPT(14)	123208968545718439	0 28 48 60 72 88 102 208 222 238 250 262 282 310	59254430622