Prime p₀= 234685856542322377 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 18 14 18 6 42 22 42 6 18 14 18 34 (?)
a_n: 0 34 52 66 84 90 132 154 196 202 220 234 252 286
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: 286
Found by: gaballus
db: batch=69, k=14, 34 18 14 18 6 42 22

SPT(14)	234685777249112633	0 8 14 56 80 90 114 140 164 174 198 240 246 254	-79293209744
STPT(10)	234685797778519037	0 2 30 32 42 44 54 56 84 86	-58763803340
TPT(12)	234685805161966049	0 2 48 50 108 110 138 140 192 194 210 212	-51380356328
SPT(14)	234685824932891663	0 18 30 66 80 90 116 300 326 336 350 386 398 416	-31609430714
SPT(14)	234685845806001871	0 40 42 46 52 78 100 108 130 156 162 166 168 208	-10736320506
SPT(14)	234685849656030659	0 54 60 74 80 90 98 144 152 162 168 182 188 242	-6886291718
SPT(14)	234685856618461979	0 14 20 42 78 84 110 162 188 194 230 252 258 272	76139602
TPT(12)	234685875891303407	0 2 42 44 102 104 132 134 174 176 282 284	19348981030
STPT(10)	234685888375967447	0 2 12 14 42 44 72 74 84 86	31833645070
SPT(14)	234685891945711189	0 42 90 130 142 148 172 198 222 228 240 280 328 370	35403388812
TPT(12)	234685914262850891	0 2 66 68 78 80 156 158 240 242 276 278	57720528514