Prime p₀= 896428124788283777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: paulteo
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	896427244160616193	0 4 6 34 36 58 78 90 154 166 186 208 210 238 240 244	-880627667584
TPT(14)	896427365670044399	0 2 42 44 72 74 78 80 228 230 300 302 372 374	-759118239378
SPT(16)	896427494617632067	0 6 16 52 76 90 100 126 286 312 322 336 360 396 406 412	-630170651710
STPT(10)	896427930024328307	0 2 12 14 72 74 132 134 144 146	-194763955470
SPT(16)	896428074866531503	0 36 88 118 168 196 216 270 286 340 360 388 438 468 520 556	-49921752274
TPT(14)	896428085428483577	0 2 54 56 60 62 90 92 114 116 144 146 210 212	-39359800200
STPT(10)	896428172465357417	0 2 30 32 42 44 54 56 84 86	47677073640
SPT(18)	896428216674083783	0 6 20 26 56 84 134 180 186 254 260 306 356 384 414 420 434 440	91885800006
SPT(16)	896428451413041373	0 30 46 124 144 166 204 264 280 340 378 400 420 498 514 544	326624757596
SPT(16)	896428577871427309	0 30 60 64 112 142 144 168 274 298 300 330 378 382 412 442	453083143532
SPT(16)	896429213941160447	0 14 42 80 84 120 122 146 150 174 176 212 216 254 282 296	1089152876670