Prime p₀= 408443567108239357 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 34 26 24 18 52 2 4 2 52 18 24 26 34 (?)
a_n: 0 34 60 84 102 154 156 160 162 214 232 256 282 316
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: 316
Found by: Cruncher Pete
db: batch=70, k=14, 34 26 24 18 52 2 4

SPT(14)	408443491939559393	0 56 74 78 80 98 126 158 186 204 206 210 228 284	-75168679964
SPT(14)	408443511261666107	0 12 90 104 146 152 164 222 234 240 282 296 374 386	-55846573250
SPT(14)	408443534576286641	0 42 50 56 60 66 68 90 92 98 102 108 116 158	-32531952716
SPT(14)	408443549088252617	0 2 32 56 66 80 92 150 162 176 186 210 240 242	-18019986740
TPT(12)	408443550241712807	0 2 54 56 90 92 120 122 150 152 162 164	-16866526550
SPT(14)	408443561829481459	0 58 102 120 124 130 142 210 222 228 232 250 294 352	-5278757898
SPT(14)	408443572103749867	0 24 54 70 76 84 90 130 136 144 150 166 196 220	4995510510
SPT(14)	408443590064076367	0 10 16 34 54 76 100 216 240 262 282 300 306 316	22955837010
SPT(14)	408443592543415453	0 6 40 48 84 96 124 150 178 190 226 234 268 274	25435176096
SPT(16)	408443598102819443	0 20 24 48 68 80 90 98 120 128 138 150 170 194 198 218	30994580086
SPT(14)	408443612549438309	0 20 32 42 62 110 132 140 162 210 230 240 252 272	45441198952