Prime p₀= 136567024335868673 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 26 24 16 26 4 26 4 26 16 24 26 18 (?)
a_n: 0 18 44 68 84 110 114 140 144 170 186 210 236 254
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: 254
Found by: emoga
db: batch=67, k=14, 18 26 24 16 26 4 26

TPT(12)	136566955294093631	0 2 66 68 108 110 150 152 168 170 336 338	-69041775042
SPT(16)	136566958295756939	0 14 20 42 48 54 90 98 144 152 188 194 200 222 228 242	-66040111734
SPT(14)	136566972628664587	0 16 66 94 106 136 144 286 294 324 336 364 414 430	-51707204086
SPT(14)	136567009882418779	0 42 54 94 112 124 154 210 240 252 270 310 322 364	-14453449894
SPT(14)	136567011468025601	0 8 50 56 66 72 78 80 86 92 102 108 150 158	-12867843072
TPT(12)	136567014676774931	0 2 60 62 96 98 168 170 198 200 228 230	-9659093742
SPT(14)	136567039109328427	0 46 66 70 94 106 124 132 150 162 186 190 210 256	14773459754
SPT(14)	136567046113562887	0 16 60 64 76 202 246 280 324 450 462 466 510 526	21777694214
SPT(16)	136567058263673293	0 28 34 46 64 100 114 120 124 130 144 180 198 210 216 244	33927804620
SPT(14)	136567059560359387	0 46 60 66 94 114 136 144 166 186 214 220 234 280	35224490714
STPT(10)	136567069776278369	0 2 48 50 90 92 132 134 180 182	45440409696