Prime p₀= 18691409557694611 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 52 20 22 50 40 56 40 50 22 20 52 6 (?)
a_n: 0 6 58 78 100 150 190 246 286 336 358 378 430 436
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: 436
Found by: emoga
db: batch=62, k=14, 6 52 20 22 50 40 56

SPT(14)	18691374119329253	0 68 138 146 174 266 278 336 348 440 468 476 546 614	-35438365358
SPT(14)	18691385187386893	0 4 48 66 70 144 148 156 160 234 238 256 300 304	-24370307718
SPT(14)	18691390120975841	0 8 26 38 42 48 90 98 140 146 150 162 180 188	-19436718770
SPT(14)	18691392167321959	0 4 54 64 72 100 130 222 252 280 288 298 348 352	-17390372652
SPT(14)	18691397259980717	0 12 44 54 72 90 104 150 164 182 200 210 242 254	-12297713894
SPT(16)	18691407236163901	0 16 28 106 120 180 186 192 226 232 238 298 312 390 402 418	-2321530710
TPT(12)	18691418604958859	0 2 12 14 42 44 138 140 180 182 222 224	9047264248
SPT(16)	18691419782227561	0 6 42 66 78 88 130 136 162 168 210 220 232 256 292 298	10224532950
TPT(12)	18691431716170247	0 2 72 74 192 194 222 224 264 266 312 314	22158475636
SPT(14)	18691445493793043	0 20 48 104 108 114 138 140 164 170 174 230 258 278	35936098432
TPT(12)	18691445707539887	0 2 42 44 84 86 120 122 144 146 162 164	36149845276