Prime p₀= 2069678202211497329 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: vaughan
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2069677667625789059	0 20 44 48 54 68 90 98 114 122 144 158 164 168 192 212	-534585708270
SPT(16)	2069677806938455097	0 66 102 140 156 182 216 242 264 290 324 350 366 404 440 506	-395273042232
SPT(16)	2069677834130924531	0 8 42 62 66 78 96 98 120 122 140 152 156 176 210 218	-368080572798
SPT(16)	2069677870217225267	0 24 26 30 72 110 132 146 150 164 186 224 266 270 272 296	-331994272062
STPT(10)	2069677975103652161	0 2 96 98 108 110 120 122 216 218	-227107845168
SPT(16)	2069678140769372299	0 18 24 34 118 154 160 180 202 222 228 264 348 358 364 382	-61442125030
STPT(10)	2069678379931832741	0 2 30 32 78 80 126 128 156 158	177720335412
SPT(16)	2069678699245844651	0 26 86 98 110 128 186 230 276 320 378 396 408 420 480 506	497034347322
STPT(10)	2069678839393161629	0 2 42 44 90 92 138 140 180 182	637181664300
SPT(16)	2069679176189196659	0 2 14 42 84 120 128 150 152 174 182 218 260 288 300 302	973977699330
STPT(10)	2069679908228255357	0 2 60 62 72 74 84 86 144 146	1706016758028