Prime p₀= 2391627838869340439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Conan
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2391625867361080529	0 2 48 50 90 92 132 134 180 182	-1971508259910
TPT(14)	2391626007820949099	0 2 12 14 132 134 180 182 198 200 312 314 378 380	-1831048391340
SPT(16)	2391626248852737257	0 60 72 104 114 116 152 162 194 204 240 242 252 284 296 356	-1590016603182
SPT(16)	2391626262924627163	0 58 64 88 96 100 144 166 168 190 234 238 246 270 276 334	-1575944713276
SPT(16)	2391626748655032023	0 56 78 80 108 158 168 174 260 266 276 326 354 356 378 434	-1090214308416
STPT(10)	2391626776355399249	0 2 42 44 60 62 78 80 120 122	-1062513941190
STPT(10)	2391628027472914187	0 2 24 26 42 44 60 62 84 86	188603573748
TPT(14)	2391628672336001051	0 2 18 20 48 50 258 260 288 290 336 338 420 422	833466660612
STPT(10)	2391629643220916279	0 2 18 20 30 32 42 44 60 62	1804351575840
SPT(16)	2391629812155270031	0 22 66 88 120 142 210 262 336 388 456 478 510 532 576 598	1973285929592
STPT(10)	2391629881440400961	0 2 6 8 48 50 90 92 96 98	2042571060522