Prime p₀= 1069342298419648991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 58 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 168 170 216 218
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: 218
Found by: Fardringle
db: batch=76, k=10, 2 46 2 58 2

SPT(16)	1069341491567621801	0 6 8 12 18 42 86 182 216 312 356 380 386 390 392 398	-806852027190
SPT(16)	1069341560338902281	0 2 32 48 62 140 162 176 252 266 288 366 380 396 426 428	-738080746710
SPT(16)	1069341634245410117	0 14 72 114 116 120 180 186 320 326 386 390 392 434 492 506	-664174238874
STPT(10)	1069341815823448469	0 2 78 80 120 122 162 164 240 242	-482596200522
STPT(10)	1069342175611700621	0 2 36 38 78 80 120 122 156 158	-122807948370
SPT(16)	1069342242660366757	0 34 36 64 90 106 112 120 166 174 180 196 222 250 252 286	-55759282234
SPT(16)	1069342380917230201	0 48 52 88 106 118 126 172 276 322 330 342 360 396 400 448	82497581210
SPT(16)	1069342609094199233	0 6 24 36 56 80 84 114 146 176 180 204 224 236 254 260	310674550242
SPT(16)	1069342757727103991	0 8 18 32 66 96 108 180 398 470 482 512 546 560 570 578	459307455000
SPT(16)	1069342784862649799	0 54 104 138 168 188 192 222 230 260 264 284 314 348 398 452	486443000808
STPT(10)	1069342842100301339	0 2 18 20 30 32 42 44 60 62	543680652348