Prime p₀= 338331159721392511 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 74 46 6 6 38 16 38 6 6 46 74 16 (?)
a_n: 0 16 90 136 142 148 186 202 240 246 252 298 372 388
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: 388
Found by: Cruncher Pete
db: batch=70, k=14, 16 74 46 6 6 38 16

SPT(14)	338331049431622669	0 4 24 30 58 60 64 114 118 120 148 154 174 178	-110289769842
TPT(12)	338331077014964807	0 2 42 44 90 92 132 134 174 176 180 182	-82706427704
SPT(14)	338331084020078971	0 22 76 78 90 96 112 126 142 148 160 162 216 238	-75701313540
SPT(14)	338331087529799911	0 42 52 60 72 100 108 130 138 166 178 186 196 238	-72191592600
SPT(14)	338331137267365513	0 40 60 76 88 90 96 118 124 126 138 154 174 214	-22454026998
SPT(14)	338331153294374441	0 56 66 78 108 120 138 230 248 260 290 302 312 368	-6427018070
SPT(14)	338331174799290287	0 30 54 72 110 114 180 266 332 336 374 392 416 446	15077897776
SPT(14)	338331199002350083	0 10 18 76 96 124 136 168 180 208 228 286 294 304	39280957572
SPT(14)	338331202400602283	0 6 8 20 38 90 126 188 224 276 294 306 308 314	42679209772
SPT(14)	338331216634127081	0 2 8 32 56 60 78 80 98 102 126 150 156 158	56912734570
SPT(14)	338331231828548533	0 18 58 60 78 144 148 150 154 220 238 240 280 298	72107156022