Prime p₀= 1144264726926846797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Putin Has a Small Dick
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1144262719267671431	0 18 38 50 60 80 116 138 140 162 198 218 228 240 260 278	-2007659175366
STPT(10)	1144262967124248029	0 2 42 44 60 62 78 80 120 122	-1759802598768
SPT(16)	1144262989010539877	0 6 42 44 50 72 114 120 146 152 194 216 222 224 260 266	-1737916306920
STPT(10)	1144263199626439337	0 2 30 32 42 44 54 56 84 86	-1527300407460
STPT(10)	1144263316570707197	0 2 12 14 72 74 132 134 144 146	-1410356139600
SPT(16)	1144263591440381389	0 22 54 90 94 118 132 162 220 250 264 288 292 328 360 382	-1135486465408
SPT(16)	1144265030006681897	0 14 32 56 74 84 86 132 164 210 212 222 240 264 282 296	303079835100
SPT(16)	1144265231759073737	0 14 32 36 120 134 140 150 176 186 192 206 290 294 312 326	504832226940
SPT(16)	1144265257112679721	0 12 22 52 108 118 148 160 180 192 222 232 288 318 328 340	530185832924
STPT(10)	1144265309744180147	0 2 30 32 42 44 54 56 84 86	582817333350
SPT(16)	1144265600045997551	0 62 92 126 192 198 248 260 288 300 350 356 422 456 486 548	873119150754