Prime p₀= 2043714407806841657 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: Orange Kid
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2043712752273435169	0 12 40 54 174 180 258 264 388 394 472 478 598 612 640 652	-1655533406488
SPT(16)	2043713466091242371	0 18 32 132 152 188 210 222 356 368 390 426 446 546 560 578	-941715599286
SPT(16)	2043713664762186083	0 24 44 66 78 116 128 140 144 156 168 206 218 240 260 284	-743044655574
SPT(16)	2043714019294978463	0 38 56 60 80 86 108 116 240 248 270 276 296 300 318 356	-388511863194
STPT(12)	2043714175368475991	0 2 78 80 96 98 120 122 138 140 216 218	-232438365666
SPT(16)	2043714200955444221	0 68 78 80 96 98 116 138 140 162 180 182 198 200 210 278	-206851397436
SPT(16)	2043714426648501679	0 22 48 120 174 184 234 268 294 328 378 388 442 514 540 562	18841660022
STPT(10)	2043715095908548079	0 2 42 44 90 92 138 140 180 182	688101706422
SPT(16)	2043715590018339989	0 8 14 110 122 224 230 234 248 252 258 360 372 468 474 482	1182211498332
SPT(16)	2043715599889148587	0 22 70 76 96 106 112 132 154 174 180 190 210 216 264 286	1192082306930
STPT(10)	2043716070606331787	0 2 30 32 42 44 54 56 84 86	1662799490130