Prime p₀= 378622340484997109 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 2 18 6 24 36 16 36 24 6 18 2 42 (?)
a_n: 0 42 44 62 68 92 128 144 180 204 210 228 230 272
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: 272
Found by: Cruncher Pete
db: batch=70, k=14, 42 2 18 6 24 36 16

TPT(12)	378622227724155797	0 2 132 134 180 182 222 224 252 254 270 272	-112760841312
SPT(14)	378622255358773247	0 6 20 26 56 84 86 90 92 120 150 156 170 176	-85126223862
SPT(14)	378622285676658263	0 8 60 80 120 126 140 144 158 164 204 224 276 284	-54808338846
SPT(14)	378622285874662741	0 6 18 28 52 70 88 90 108 126 150 160 172 178	-54610334368
SPT(14)	378622287611147617	0 30 42 64 66 70 102 154 186 190 192 214 226 256	-52873849492
SPT(14)	378622300646832491	0 8 36 78 120 126 132 176 182 188 230 272 300 308	-39838164618
SPT(14)	378622384425445939	0 10 48 52 60 72 94 108 130 142 150 154 192 202	43940448830
SPT(14)	378622395798046571	0 8 72 80 86 96 98 120 122 132 138 146 210 218	55313049462
SPT(14)	378622401393833503	0 88 118 124 148 180 256 288 364 396 420 426 456 544	60908836394
SPT(14)	378622410949708087	0 12 16 22 60 82 106 120 144 166 204 210 214 226	70464710978
TPT(12)	378622413999253439	0 2 12 14 120 122 138 140 222 224 252 254	73514256330