Prime p₀= 2222277318827772719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2222276118507020431	0 6 16 30 70 76 102 108 220 226 252 258 298 312 322 328	-1200320752288
SPT(16)	2222276141555363857	0 36 52 54 94 112 130 150 166 186 204 222 262 264 280 316	-1177272408862
STPT(10)	2222276305840667147	0 2 30 32 42 44 54 56 84 86	-1012987105572
SPT(16)	2222276736798383779	0 24 42 82 94 100 112 150 154 192 204 210 222 262 280 304	-582029388940
SPT(18)	2222276876535456259	0 18 22 24 52 60 70 78 172 210 304 312 322 330 358 360 364 382	-442292316460
SPT(13)	2222277132282707569	0 24 42 84 90 114 132 150 174 180 222 240 264	-186545065150
STPT(10)	2222277498176643029	0 2 12 14 90 92 168 170 180 182	179348870310
SPT(13)	2222278419074597473	0 18 78 84 90 120 144 168 198 204 210 270 288	1100246824754
SPT(16)	2222278777086272939	0 30 68 90 102 110 128 168 254 294 312 320 332 354 392 422	1458258500220
STPT(10)	2222278854304794557	0 2 30 32 42 44 54 56 84 86	1535477021838
TPT(14)	2222279313492753701	0 2 30 32 60 62 90 92 138 140 168 170 258 260	1994664980982