Prime p₀= 590122105759073963 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 14 120 10 24 2 58 2 24 10 120 14 6 (?)
a_n: 0 6 20 140 150 174 176 234 236 260 270 390 404 410
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: 410
Found by: UBT - Timbo
db: batch=71, k=14, 6 14 120 10 24 2 58

SPT(14)	590122020808249379	0 42 50 92 98 128 140 192 204 234 240 282 290 332	-84950824584
SPT(14)	590122034698931809	0 12 42 78 112 142 172 180 210 240 274 310 340 352	-71060142154
SPT(14)	590122046316052339	0 24 42 64 108 118 150 172 204 214 258 280 298 322	-59443021624
TPT(12)	590122053288682091	0 2 36 38 78 80 90 92 126 128 156 158	-52470391872
SPT(14)	590122084188357811	0 18 52 60 70 72 82 156 166 168 178 186 220 238	-21570716152
SPT(14)	590122095016898407	0 6 22 36 46 82 112 144 174 210 220 234 250 256	-10742175556
SPT(14)	590122128262055849	0 12 38 42 84 104 120 152 168 188 230 234 260 272	22502981886
SPT(14)	590122146109689461	0 20 38 56 90 102 116 132 146 158 192 210 228 248	40350615498
SPT(14)	590122153956437899	0 42 60 70 88 124 130 192 198 234 252 262 280 322	48197363936
SPT(14)	590122160245217531	0 32 38 92 98 110 140 180 210 222 228 282 288 320	54486143568
TPT(12)	590122163575978529	0 2 42 44 60 62 138 140 198 200 210 212	57816904566