Prime p₀= 2767569826654049111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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=82, k=10, 2 28 2 28 2

SPT(16)	2767568117676812627	0 24 42 60 92 102 140 182 192 234 272 282 314 332 350 374	-1708977236484
SPT(16)	2767568188571453651	0 2 30 72 90 138 168 182 198 212 242 290 308 350 378 380	-1638082595460
SPT(16)	2767568932851122761	0 12 28 58 72 100 102 106 162 166 168 196 210 240 256 268	-893802926350
TPT(14)	2767569443419927871	0 2 6 8 96 98 168 170 180 182 270 272 390 392	-383234121240
STPT(10)	2767569466480987307	0 2 42 44 72 74 102 104 144 146	-360173061804
STPT(12)	2767569651316269461	0 2 30 32 48 50 138 140 156 158 186 188	-175337779650
SPT(16)	2767571224194262711	0 10 18 36 46 88 142 190 228 276 330 372 382 400 408 418	1397540213600
STPT(10)	2767571382900803819	0 2 18 20 30 32 42 44 60 62	1556246754708
SPT(16)	2767571583498865951	0 10 36 118 132 150 178 216 352 390 418 436 450 532 558 568	1756844816840
STPT(10)	2767571615818048841	0 2 6 8 48 50 90 92 96 98	1789163999730
SPT(16)	2767571668272636871	0 10 48 60 118 120 126 148 198 220 226 228 286 298 336 346	1841618587760