Prime p₀= 786459992107333931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: paulteo
db: batch=73, k=10, 2 28 2 46 2

STPT(12)	786458745116114069	0 2 30 32 42 44 60 62 72 74 102 104	-1246991219862
SPT(16)	786458870510797087	0 22 30 90 136 162 196 274 282 360 394 420 466 526 534 556	-1121596536844
SPT(16)	786459032453480591	0 32 38 62 80 86 98 108 140 150 162 168 186 210 216 248	-959653853340
SPT(16)	786459040231756351	0 18 40 48 96 166 186 208 210 232 252 322 370 378 400 418	-951875577580
SPT(16)	786459170578345673	0 24 44 66 78 114 128 156 188 216 230 266 278 300 320 344	-821528988258
SPT(16)	786459361939504717	0 6 16 22 36 70 90 144 202 256 276 310 324 330 340 346	-630167829214
SPT(16)	786460083512922347	0 6 86 96 114 174 180 200 240 260 266 326 344 354 434 440	91405588416
SPT(16)	786460177669299377	0 26 56 90 96 116 144 156 170 182 210 230 236 270 300 326	185561965446
SPT(16)	786460276042985953	0 24 30 66 126 154 156 180 220 244 246 274 334 370 376 400	283935652022
SPT(16)	786460312844568071	0 2 8 56 66 78 86 98 120 132 140 152 162 210 216 218	320737234140
SPT(20)	786460912153699459	0 28 42 70 112 154 162 250 288 300 322 334 372 460 468 510 552 580 594 622	920046365528