Prime p₀= 1298020650655068869 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: damotbe
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1298019388599996781	0 6 10 82 90 136 138 186 202 250 252 298 306 378 382 388	-1262055072088
SPT(16)	1298019677632067893	0 90 118 166 180 196 216 220 294 298 318 334 348 396 424 514	-973023000976
SPT(16)	1298019807387240661	0 6 42 52 76 118 120 132 136 148 150 192 216 226 262 268	-843267828208
STPT(10)	1298019842461622249	0 2 12 14 30 32 48 50 60 62	-808193446620
SPT(16)	1298020051288788649	0 34 48 78 94 120 132 204 208 280 292 318 334 364 378 412	-599366280220
STPT(10)	1298020642729011917	0 2 60 62 72 74 84 86 144 146	-7926056952
STPT(10)	1298020745952650969	0 2 18 20 30 32 42 44 60 62	95297582100
SPT(16)	1298020901915903419	0 34 90 100 112 118 154 210 232 288 324 330 342 352 408 442	251260834550
STPT(10)	1298021026712598647	0 2 30 32 42 44 54 56 84 86	376057529778
STPT(10)	1298021053768530071	0 2 30 32 78 80 126 128 156 158	403113461202
SPT(16)	1298021075617789297	0 34 42 46 64 76 90 120 136 166 180 192 210 214 222 256	424962720428