Prime p₀= 1296035964406586717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1296034782188836861	0 30 96 118 120 166 190 246 322 378 402 448 450 472 538 568	-1182217749856
STPT(10)	1296035057364076187	0 2 12 14 72 74 132 134 144 146	-907042510530
SPT(16)	1296035194427904317	0 24 50 66 80 90 92 114 182 204 206 216 230 246 272 296	-769978682400
SPT(16)	1296035293563971143	0 24 30 94 156 204 208 250 294 336 340 388 450 514 520 544	-670842615574
SPT(16)	1296035352119864947	0 12 24 54 64 66 70 82 204 216 220 222 232 262 274 286	-612286721770
STPT(10)	1296035549739533399	0 2 18 20 30 32 42 44 60 62	-414667053318
SPT(16)	1296036005791295227	0 34 70 76 112 114 120 130 156 166 172 174 210 216 252 286	41384708510
STPT(10)	1296036152156690039	0 2 18 20 30 32 42 44 60 62	187750103322
SPT(16)	1296036580013993947	0 24 54 84 154 184 192 202 492 502 510 540 610 640 670 694	615607407230
STPT(10)	1296037153514416679	0 2 42 44 60 62 78 80 120 122	1189107829962
SPT(16)	1296037354919858143	0 4 88 106 150 178 190 196 228 234 246 274 318 336 420 424	1390513271426