Prime p₀= 2788276646686344599 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: Roadranner
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2788275300553079411	0 2 6 8 48 50 90 92 96 98	-1346133265188
SPT(16)	2788275317569231621	0 22 70 132 160 162 178 186 262 270 286 288 316 378 426 448	-1329117112978
TPT(14)	2788275522403413659	0 2 12 14 78 80 108 110 180 182 210 212 222 224	-1124282930940
SPT(16)	2788275838936078103	0 26 86 98 110 126 140 144 170 174 188 204 216 228 288 314	-807750266496
TPT(14)	2788276059822559127	0 2 24 26 54 56 222 224 330 332 384 386 462 464	-586863785472
STPT(12)	2788276441567498547	0 2 42 44 72 74 150 152 180 182 222 224	-205118846052
SPT(16)	2788276844642932061	0 2 56 80 116 150 156 168 170 182 188 222 258 282 336 338	197956587462
STPT(10)	2788277242380291281	0 2 6 8 48 50 90 92 96 98	595693946682
SPT(16)	2788277383076910821	0 12 42 56 66 96 98 116 132 150 152 182 192 206 236 248	736390566222
SPT(16)	2788277568340618573	0 10 18 64 120 150 156 178 246 268 274 304 360 406 414 424	921654273974
STPT(10)	2788277938542881969	0 2 30 32 60 62 90 92 120 122	1291856537370