Prime p₀= 19217953076418427 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 80 16 6 6 44 34 44 6 6 16 80 4 (?)
a_n: 0 4 84 100 106 112 156 190 234 240 246 262 342 346
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: 346
Found by: gaballus
db: batch=62, k=14, 4 80 16 6 6 44 34

SPT(14)	19217919686961503	0 8 26 30 36 44 48 56 60 68 74 78 96 104	-33389456924
TPT(14)	19217920948328741	0 2 6 8 18 20 60 62 78 80 90 92 156 158	-32128089686
SPT(16)	19217923899724337	0 20 30 56 72 156 162 210 266 314 320 404 420 446 456 476	-29176694090
SPT(14)	19217928550908203	0 8 18 20 26 128 134 180 186 288 294 296 306 314	-24525510224
SPT(14)	19217939366158349	0 42 68 120 134 150 164 318 332 348 362 414 440 482	-13710260078
SPT(14)	19217941879671023	0 14 24 30 54 68 84 110 126 140 164 170 180 194	-11196747404
SPT(14)	19217975705492407	0 30 54 76 90 120 130 240 250 280 294 316 340 370	22629073980
SPT(14)	19217986758092147	0 12 20 54 90 104 116 120 132 146 182 216 224 236	33681673720
SPT(14)	19217989271945213	0 8 50 138 150 176 198 206 228 254 266 354 396 404	36195526786
SPT(14)	19217994149201303	0 8 18 30 56 60 86 198 224 228 254 266 276 284	41072782876
SPT(14)	19217995865366929	0 12 22 42 54 60 70 72 82 88 100 120 130 142	42788948502