Prime p₀= 578335148798081921 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 2 6 4 68 28 74 28 68 4 6 2 30 (?)
a_n: 0 30 32 38 42 110 138 212 240 308 312 318 320 350
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: 350
Found by: marsinph
db: batch=71, k=14, 30 2 6 4 68 28 74

SPT(16)	578335092033147391	0 90 112 148 210 222 250 286 342 378 406 418 480 516 538 628	-56764934530
SPT(16)	578335093616248201	0 16 78 106 126 148 150 330 358 538 540 562 582 610 672 688	-55181833720
SPT(14)	578335098465060407	0 56 72 80 86 120 210 212 302 336 342 350 366 422	-50333021514
SPT(14)	578335118552230807	0 22 66 96 106 120 124 132 136 150 160 190 234 256	-30245851114
TPT(12)	578335125459666719	0 2 48 50 72 74 222 224 240 242 312 314	-23338415202
TPT(12)	578335126705124489	0 2 30 32 72 74 108 110 282 284 360 362	-22092957432
TPT(12)	578335149724521401	0 2 168 170 186 188 210 212 246 248 258 260	926439480
SPT(14)	578335166454348929	0 20 48 72 80 92 98 114 120 132 140 164 192 212	17656267008
SPT(14)	578335176695559131	0 2 8 18 36 56 78 80 102 122 140 150 156 158	27897477210
SPT(14)	578335180135279907	0 6 20 42 86 96 116 126 146 156 200 222 236 242	31337197986
SPT(20)	578335185977821799	0 24 62 74 80 104 108 120 150 164 168 182 212 224 228 252 258 270 308 332	37179739878