Prime p₀= 2768095404576336089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2768093399618813521	0 22 82 90 136 160 166 178 180 192 198 222 268 276 336 358	-2004957522568
STPT(10)	2768093561633018621	0 2 36 38 78 80 120 122 156 158	-1842943317468
STPT(10)	2768093582415942959	0 2 12 14 90 92 168 170 180 182	-1822160393130
STPT(10)	2768093859102612881	0 2 36 38 78 80 120 122 156 158	-1545473723208
SPT(18)	2768094047149100489	0 110 120 140 162 180 198 218 254 318 354 374 392 410 432 452 462 572	-1357427235600
SPT(13)	2768094694399990639	0 12 60 90 132 138 180 222 228 270 300 348 360	-710176345450
SPT(16)	2768095415044623437	0 12 14 96 116 134 176 200 306 330 372 390 410 492 494 506	10468287348
STPT(10)	2768095680069376157	0 2 54 56 72 74 90 92 144 146	275493040068
SPT(16)	2768095757668890931	0 42 72 76 88 112 130 132 196 198 216 240 252 256 286 328	353092554842
STPT(10)	2768095803845645027	0 2 30 32 42 44 54 56 84 86	399269308938
TPT(14)	2768095900018459511	0 2 138 140 180 182 198 200 216 218 270 272 306 308	495442123422