Prime p₀= 2144133333437462957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2144132172355325083	0 28 70 84 130 136 184 196 228 240 288 294 340 354 396 424	-1161082137874
SPT(16)	2144132238229775611	0 28 58 96 138 142 186 226 252 292 336 340 382 420 450 478	-1095207687346
SPT(16)	2144132253717344249	0 14 24 32 60 80 102 128 144 170 192 212 240 248 258 272	-1079720118708
SPT(16)	2144132283950621473	0 4 28 64 70 120 124 144 190 210 214 264 270 306 330 334	-1049486841484
TPT(14)	2144132919199564607	0 2 30 32 84 86 144 146 150 152 270 272 312 314	-414237898350
SPT(16)	2144133261195602939	0 8 12 14 30 42 44 72 110 138 140 152 168 170 174 182	-72241860018
SPT(16)	2144133774569430571	0 42 46 48 82 88 90 142 366 418 420 426 460 462 466 508	441131967614
STPT(10)	2144133997735552631	0 2 6 8 48 50 90 92 96 98	664298089674
SPT(16)	2144134089319522357	0 36 52 66 120 150 154 162 214 222 226 256 310 324 340 376	755882059400
STPT(12)	2144134749902987459	0 2 48 50 78 80 90 92 120 122 168 170	1416465524502
SPT(16)	2144135232791126347	0 34 54 64 70 114 180 190 210 220 286 330 336 346 366 400	1899353663390