Prime p₀= 1062788672513422427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1062786622403345143	0 28 30 40 64 96 108 120 184 196 208 240 264 274 276 304	-2050110077284
SPT(16)	1062786720559813577	0 12 14 44 56 170 180 230 306 356 366 480 492 522 524 536	-1951953608850
SPT(16)	1062787909319909653	0 4 18 24 34 46 96 126 268 298 348 360 370 376 390 394	-763193512774
STPT(10)	1062788092652708099	0 2 18 20 30 32 42 44 60 62	-579860714328
SPT(16)	1062788100555066191	0 38 60 108 120 132 150 176 192 218 236 248 260 308 330 368	-571958356236
SPT(16)	1062788472218066927	0 50 126 144 152 224 236 242 264 270 282 354 362 380 456 506	-200295355500
SPT(16)	1062788715795571393	0 66 76 94 118 124 126 136 168 178 180 186 210 228 238 304	43282148966
SPT(16)	1062788798982861611	0 6 12 36 38 62 72 92 126 146 156 180 182 206 212 218	126469439184
STPT(10)	1062789071244170447	0 2 60 62 72 74 84 86 144 146	398730748020
STPT(10)	1062789251001269147	0 2 30 32 72 74 114 116 144 146	578487846720
STPT(10)	1062789512688678947	0 2 42 44 72 74 102 104 144 146	840175256520