Prime p₀= 342422515940790737 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 10 32 34 8 28 2 28 8 34 32 10 20 (?)
a_n: 0 20 30 62 96 104 132 134 162 170 204 236 246 266
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: 266
Found by: Cruncher Pete
db: batch=70, k=14, 20 10 32 34 8 28 2

SPT(18)	342422448827868187	0 6 60 70 76 94 102 126 136 150 160 184 192 210 216 226 280 286	-67112922550
SPT(14)	342422454666964811	0 12 20 72 80 96 116 222 242 258 266 318 326 338	-61273825926
SPT(14)	342422463262561763	0 44 50 56 78 86 104 120 138 146 168 174 180 224	-52678228974
TPT(12)	342422463561835931	0 2 30 32 66 68 96 98 138 140 156 158	-52378954806
SPT(16)	342422485235656879	0 34 58 60 70 88 124 148 180 204 240 258 268 270 294 328	-30705133858
TPT(12)	342422508431422841	0 2 30 32 48 50 78 80 120 122 156 158	-7509367896
TPT(12)	342422531847465359	0 2 78 80 120 122 138 140 168 170 210 212	15906674622
SPT(14)	342422572856457661	0 18 22 28 42 52 102 148 198 208 222 228 232 250	56915666924
SPT(18)	342422583577750171	0 42 70 82 100 118 138 220 222 238 240 322 342 360 378 390 418 460	67636959434
TPT(12)	342422604262043741	0 2 36 38 60 62 78 80 168 170 198 200	88321253004
SPT(14)	342422626141641481	0 18 28 30 42 60 72 88 100 118 130 132 142 160	110200850744