Prime p₀= 781028494118230451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG]steini
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	781027307047597669	0 22 42 54 82 90 108 142 300 334 352 360 388 400 420 442	-1187070632782
STPT(10)	781027494244717199	0 2 18 20 30 32 42 44 60 62	-999873513252
STPT(10)	781027512268097111	0 2 78 80 108 110 138 140 216 218	-981850133340
SPT(16)	781028204997783641	0 30 42 62 92 120 122 162 176 216 218 246 276 296 308 338	-289120446810
SPT(16)	781028392391844929	0 44 50 78 90 92 140 194 198 252 300 302 314 342 348 392	-101726385522
SPT(16)	781028429461017587	0 14 20 44 50 66 72 104 192 224 230 246 252 276 282 296	-64657212864
SPT(18)	781028571738272549	0 42 48 110 138 180 212 228 324 338 434 450 482 524 552 614 620 662	77620042098
STPT(10)	781028599918847249	0 2 12 14 30 32 48 50 60 62	105800616798
STPT(10)	781028694085127771	0 2 6 8 48 50 90 92 96 98	199966897320
SPT(16)	781029254654529329	0 60 98 158 170 198 228 278 324 374 404 432 444 504 542 602	760536298878
STPT(10)	781029531367383971	0 2 30 32 78 80 126 128 156 158	1037249153520