Prime p₀= 114411751305740321 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 104 6 52 68 30 46 30 68 52 6 104 6 (?)
a_n: 0 6 110 116 168 236 266 312 342 410 462 468 572 578
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: 578
Found by: nenym
db: batch=67, k=14, 6 104 6 52 68 30 46

SPT(14)	114411633188678071	0 10 12 22 36 42 52 126 136 142 156 166 168 178	-118117062250
SPT(14)	114411641952837839	0 8 18 38 60 68 98 120 150 158 180 200 210 218	-109352902482
SPT(14)	114411700394192881	0 28 36 60 72 78 102 106 130 136 148 172 180 208	-50911547440
SPT(14)	114411707532678973	0 4 6 16 60 106 120 124 138 184 228 238 240 244	-43773061348
SPT(14)	114411720443919967	0 6 40 46 66 112 120 136 144 190 210 216 250 256	-30861820354
SPT(14)	114411742590233393	0 48 84 90 126 134 140 174 180 188 224 230 266 314	-8715506928
SPT(16)	114411754611031441	0 58 76 88 132 148 156 160 198 202 210 226 270 282 300 358	3305291120
SPT(16)	114411758222488193	0 8 54 56 84 120 126 134 150 158 164 200 228 230 276 284	6916747872
TPT(12)	114411763643885051	0 2 36 38 78 80 156 158 198 200 288 290	12338144730
SPT(14)	114411764031859027	0 10 12 40 42 54 66 130 142 154 156 184 186 196	12726118706
SPT(14)	114411768120778487	0 32 50 62 84 120 156 230 266 302 324 336 354 386	16815038166