Prime p₀= 1267721139138608173 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 26 22 12 6 2 64 104 64 2 6 12 22 26 28 (?)
a_n: 0 28 54 76 88 94 96 160 264 328 330 336 348 370 396 424
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 424
Found by: Megacruncher
db: batch=77, k=16, 28 26 22 12 6 2 64 104

SPT(16)	1267720186686179197	0 10 34 46 76 156 234 244 252 262 340 420 450 462 486 496	-952452428976
STPT(10)	1267720280446658417	0 2 30 32 42 44 54 56 84 86	-858691949756
SPT(16)	1267720295536467169	0 40 102 160 180 204 238 244 258 264 298 322 342 400 462 502	-843602141004
STPT(10)	1267720624410239141	0 2 6 8 18 20 30 32 36 38	-514728369032
SPT(16)	1267720910144614543	0 28 70 76 100 114 118 150 154 186 190 204 228 234 276 304	-228993993630
SPT(16)	1267721099261369881	0 6 10 46 58 90 100 156 172 228 238 270 282 318 322 328	-39877238292
SPT(16)	1267721361653507557	0 10 40 60 66 112 144 156 250 262 294 340 346 366 396 406	222514899384
TPT(14)	1267721384096422601	0 2 36 38 66 68 78 80 90 92 126 128 150 152	244957814428
SPT(16)	1267721646548215457	0 44 74 102 120 126 132 134 252 254 260 266 284 312 342 386	507409607284
SPT(16)	1267721976602188223	0 36 68 86 90 128 158 168 188 198 228 266 270 288 320 356	837463580050
SPT(16)	1267722138506347177	0 10 12 30 54 124 142 154 162 174 192 262 286 304 306 316	999367739004