Prime p₀= 12444052249369529 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 38 16 8 30 28 104 4 104 28 30 8 16 38 (?)
a_n: 0 38 54 62 92 120 224 228 332 360 390 398 414 452
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: 452
Found by: crashtech
db: batch=62, k=14, 38 16 8 30 28 104 4

SPT(20)	12444030951323113	0 16 36 48 58 64 70 90 114 148 156 190 214 234 240 246 256 268 288 304	-21298046416
SPT(14)	12444032781723871	0 30 58 72 118 126 130 138 142 150 196 210 238 268	-19467645658
SPT(14)	12444041307450419	0 2 8 14 50 60 120 122 182 192 228 234 240 242	-10941919110
SPT(14)	12444048078095597	0 56 62 90 96 144 150 176 182 230 236 264 270 326	-4171273932
TPT(12)	12444049932618221	0 2 30 32 36 38 66 68 126 128 168 170	-2316751308
SPT(14)	12444050399571149	0 2 14 42 72 78 104 108 134 140 170 198 210 212	-1849798380
SPT(14)	12444058158956507	0 24 32 54 80 110 114 140 144 174 200 222 230 254	5909586978
SPT(14)	12444060736894621	0 30 52 72 90 132 150 160 178 220 238 258 280 310	8487525092
TPT(12)	12444110153054687	0 2 30 32 72 74 90 92 132 134 174 176	57903685158
SPT(16)	12444113956432141	0 16 42 96 100 126 172 180 202 210 256 282 286 340 366 382	61707062612
SPT(14)	12444122213570471	0 2 20 30 42 78 90 128 140 176 188 198 216 218	69964200942