Prime p₀= 2919309777827058821 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2919308467434769519	0 4 18 30 42 64 114 168 184 238 288 310 322 334 348 352	-1310392289302
STPT(10)	2919308570713809089	0 2 12 14 30 32 48 50 60 62	-1207113249732
SPT(16)	2919308610793657793	0 44 60 74 86 116 120 126 188 194 198 228 240 254 270 314	-1167033401028
SPT(16)	2919308988748407077	0 56 60 62 92 104 132 162 194 224 252 264 294 296 300 356	-789078651744
STPT(10)	2919309330664866089	0 2 18 20 30 32 42 44 60 62	-447162192732
STPT(10)	2919309695924518451	0 2 36 38 78 80 120 122 156 158	-81902540370
SPT(16)	2919310132701618661	0 12 22 42 48 66 118 148 150 180 232 250 256 276 286 298	354874559840
STPT(10)	2919310300145816117	0 2 30 32 72 74 114 116 144 146	522318757296
SPT(16)	2919310674610780811	0 8 32 102 162 180 182 270 278 366 368 386 446 516 540 548	896783721990
SPT(16)	2919310754046113719	0 34 54 84 118 154 174 180 292 298 318 354 388 418 438 472	976219054898
TPT(14)	2919310924925385689	0 2 108 110 150 152 228 230 240 242 270 272 402 404	1147098326868