Prime p₀= 3878945827576544651 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 10 38 88 30 42 8 22 8 42 30 88 38 10 2 (?)
a_n: 0 2 12 50 138 168 210 218 240 248 290 320 408 446 456 458
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: 458
Found by: Conan
db: batch=84, k=16, 2 10 38 88 30 42 8 22

STPT(10)	3878944621354784867	0 2 54 56 72 74 90 92 144 146	-1206221759784
TPT(14)	3878944709316627329	0 2 12 14 78 80 162 164 168 170 192 194 222 224	-1118259917322
SPT(16)	3878944783886226179	0 14 32 42 48 90 108 132 140 164 182 224 230 240 258 272	-1043690318472
SPT(16)	3878944809523294597	0 30 34 126 130 162 216 220 336 340 394 426 430 522 526 556	-1018053250054
STPT(10)	3878945141424226187	0 2 12 14 42 44 72 74 84 86	-686152318464
SPT(16)	3878945746847696243	0 6 20 38 50 98 104 140 144 180 186 234 246 264 278 284	-80728848408
TPT(16)	3878945987756323607	0 2 54 56 60 62 114 116 222 224 294 296 312 314 324 326	160179778956
SPT(16)	3878946024332870159	0 32 78 120 140 170 174 212 270 308 312 342 362 404 450 482	196756325508
SPT(16)	3878946054525823013	0 6 18 54 56 80 90 98 186 194 204 228 230 266 278 284	226949278362
STPT(10)	3878946055263032981	0 2 126 128 168 170 210 212 336 338	227686488330
STPT(10)	3878946176876692949	0 2 18 20 30 32 42 44 60 62	349300148298