Prime p₀= 452067689556760579 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 32 28 38 4 30 26 30 4 38 28 32 22 (?)
a_n: 0 22 54 82 120 124 154 180 210 214 252 280 312 334
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: 334
Found by: desktop64
db: batch=70, k=14, 22 32 28 38 4 30 26

SPT(14)	452067603218442301	0 12 18 76 102 168 172 216 220 286 312 370 376 388	-86338318278
STPT(10)	452067625064237009	0 2 18 20 60 62 102 104 120 122	-64492523570
TPT(12)	452067635931142937	0 2 12 14 60 62 102 104 114 116 144 146	-53625617642
STPT(10)	452067664123726499	0 2 30 32 60 62 90 92 120 122	-25433034080
SPT(14)	452067674465773213	0 40 70 96 124 126 136 144 154 156 184 210 240 280	-15090987366
SPT(14)	452067680834243521	0 22 40 82 136 150 168 190 208 222 276 318 336 358	-8722517058
SPT(14)	452067708052622561	0 6 32 48 86 138 158 210 230 282 320 336 362 368	18495861982
SPT(16)	452067712858653119	0 8 50 78 92 98 120 140 180 200 222 228 242 270 312 320	23301892540
SPT(14)	452067713282835613	0 6 28 54 66 94 144 160 210 238 250 276 298 304	23726075034
SPT(14)	452067781950705587	0 24 30 32 44 62 90 116 144 162 174 176 182 206	92393945008
TPT(12)	452067784624712057	0 2 60 62 72 74 90 92 174 176 222 224	95067951478