Prime p₀= 347203701937984033 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 10 12 26 22 24 44 24 22 26 12 10 36 (?)
a_n: 0 36 46 58 84 106 130 174 198 220 246 258 268 304
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: 304
Found by: Cruncher Pete
db: batch=70, k=14, 36 10 12 26 22 24 44

SPT(14)	347203619157639887	0 12 14 80 84 90 96 140 146 152 156 222 224 236	-82780344146
SPT(14)	347203646012216029	0 28 40 58 82 88 112 180 204 210 234 252 264 292	-55925768004
SPT(16)	347203650361622741	0 32 56 78 92 108 126 128 150 152 170 186 200 222 246 278	-51576361292
TPT(12)	347203657427579987	0 2 60 62 102 104 150 152 234 236 240 242	-44510404046
SPT(14)	347203659536310691	0 22 52 60 70 100 126 136 162 192 202 210 240 262	-42401673342
TPT(12)	347203683474767921	0 2 18 20 96 98 138 140 228 230 270 272	-18463216112
SPT(14)	347203732193584831	0 48 66 76 78 90 108 148 166 178 180 190 208 256	30255600798
SPT(14)	347203743410006939	0 24 54 78 128 134 170 192 228 234 284 308 338 362	41472022906
TPT(12)	347203754393884361	0 2 30 32 108 110 150 152 276 278 336 338	52455900328
SPT(14)	347203763491706137	0 22 64 70 126 132 144 172 184 190 246 252 294 316	61553722104
SPT(16)	347203783064853433	0 28 64 148 160 196 208 210 244 246 258 294 306 390 426 454	81126869400