Prime p₀= 341409141179268667 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 40 30 2 24 6 10 2 10 6 24 2 30 40 (?)
a_n: 0 40 70 72 96 102 112 114 124 130 154 156 186 226
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: 226
Found by: Cruncher Pete
db: batch=70, k=14, 40 30 2 24 6 10 2

SPT(14)	341409085701626177	0 14 26 92 102 114 170 186 242 254 264 330 342 356	-55477642490
SPT(14)	341409101637782911	0 10 66 90 150 192 210 238 256 298 358 382 438 448	-39541485756
TPT(12)	341409119686331117	0 2 54 56 114 116 150 152 192 194 210 212	-21492937550
TPT(12)	341409120930397631	0 2 18 20 66 68 150 152 156 158 198 200	-20248871036
TPT(12)	341409134712594161	0 2 36 38 66 68 78 80 90 92 180 182	-6466674506
SPT(14)	341409138504519619	0 10 22 28 58 72 84 88 100 114 144 150 162 172	-2674749048
TPT(12)	341409166654905029	0 2 30 32 132 134 228 230 258 260 300 302	25475636362
SPT(14)	341409170875263269	0 20 50 62 74 102 104 120 122 150 162 174 204 224	29695994602
TPT(12)	341409177839277131	0 2 36 38 48 50 78 80 138 140 150 152	36660008464
SPT(14)	341409245466652019	0 18 42 72 98 108 132 140 164 174 200 230 254 272	104287383352
SPT(14)	341409261790147921	0 6 40 58 88 102 132 166 196 210 240 258 292 298	120610879254