Prime p₀= 876092581810108511 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: scrap
db: batch=73, k=10, 2 28 2 28 2

STPT(10)	876092016094430909	0 2 12 14 90 92 168 170 180 182	-565715677602
STPT(10)	876092124707712761	0 2 36 38 78 80 120 122 156 158	-457102395750
SPT(16)	876092297569398761	0 60 68 80 90 108 150 192 218 260 302 320 330 342 350 410	-284240709750
SPT(16)	876092431258702169	0 74 80 92 110 144 168 180 182 194 218 252 270 282 288 362	-150551406342
STPT(10)	876092455785152729	0 2 12 14 30 32 48 50 60 62	-126024955782
SPT(16)	876092565412271237	0 44 62 72 84 104 114 120 134 140 150 170 182 192 210 254	-16397837274
SPT(16)	876092629672960363	0 28 48 88 94 114 136 166 228 258 280 300 306 346 366 394	47862851852
SPT(16)	876092764009009489	0 4 24 34 42 52 70 112 150 192 210 220 228 238 258 262	182198900978
STPT(10)	876093202805534027	0 2 30 32 42 44 54 56 84 86	620995425516
STPT(12)	876093342629537441	0 2 48 50 78 80 90 92 120 122 168 170	760819428930
TPT(16)	876093446315592959	0 2 150 152 282 284 312 314 318 320 348 350 432 434 570 572	864505484448