Prime p₀= 27232356708114653 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 22 24 6 38 48 22 48 38 6 24 22 8 (?)
a_n: 0 8 30 54 60 98 146 168 216 254 260 284 306 314
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: 314
Found by: Cruncher Pete
db: batch=65, k=14, 8 22 24 6 38 48 22

TPT(12)	27232284820546109	0 2 12 14 42 44 78 80 120 122 150 152	-71887568544
TPT(12)	27232293360742511	0 2 30 32 60 62 66 68 96 98 138 140	-63347372142
TPT(12)	27232294623123587	0 2 60 62 72 74 84 86 90 92 174 176	-62084991066
SPT(14)	27232295100831973	0 10 28 40 48 66 120 136 190 208 216 228 246 256	-61607282680
SPT(14)	27232295759884447	0 4 24 30 40 42 72 124 154 156 166 172 192 196	-60948230206
SPT(14)	27232332931584061	0 22 42 66 100 112 130 168 186 198 232 256 276 298	-23776530592
SPT(14)	27232379867606897	0 74 104 114 120 132 146 210 224 236 242 252 282 356	23159492244
SPT(14)	27232381752965261	0 32 60 122 132 140 146 186 192 200 210 272 300 332	25044850608
SPT(14)	27232398784000589	0 60 72 78 90 92 128 132 168 170 182 188 200 260	42075885936
TPT(12)	27232405290697877	0 2 54 56 72 74 84 86 114 116 132 134	48582583224
SPT(14)	27232405439533951	0 10 16 18 66 72 100 138 166 172 220 222 228 238	48731419298