Prime p₀= 518724019175305771 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 52 42 66 84 20 154 20 84 66 42 52 18 (?)
a_n: 0 18 70 112 178 262 282 436 456 540 606 648 700 718
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: 718
Found by: scrap
db: batch=71, k=14, 18 52 42 66 84 20 154

SPT(14)	518723877543731731	0 28 46 70 72 88 112 156 180 196 198 222 240 268	-141631574040
SPT(16)	518723890812825889	0 118 144 162 192 220 310 328 354 372 462 490 520 538 564 682	-128362479882
SPT(14)	518723951405185349	0 42 54 110 224 252 270 272 290 318 432 488 500 542	-67770120422
SPT(14)	518723958215212033	0 6 30 34 36 40 70 84 114 118 120 124 148 154	-60960093738
SPT(14)	518723966147725321	0 48 70 76 90 126 130 168 172 208 222 228 250 298	-53027580450
TPT(12)	518724016960301987	0 2 42 44 72 74 90 92 102 104 162 164	-2215003784
SPT(14)	518724027162496357	0 24 34 82 100 112 160 174 222 234 252 300 310 334	7987190586
SPT(14)	518724027959312821	0 42 100 112 136 150 156 196 202 216 240 252 310 352	8784007050
SPT(14)	518724049718915207	0 56 90 144 146 180 186 224 230 264 266 320 354 410	30543609436
SPT(14)	518724052426619203	0 6 16 66 76 106 118 156 168 198 208 258 268 274	33251313432
SPT(14)	518724069616851863	0 8 14 20 36 48 56 108 116 128 144 150 156 164	50441546092