Prime p₀= 2141292372772380767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2141290474279489711	0 6 10 28 36 48 52 70 78 96 100 112 120 138 142 148	-1898492891056
STPT(10)	2141291437167108431	0 2 6 8 18 20 30 32 36 38	-935605272336
STPT(10)	2141291501905546811	0 2 6 8 18 20 30 32 36 38	-870866833956
SPT(16)	2141291705040181399	0 10 34 52 118 214 244 268 294 318 348 444 510 528 552 562	-667732199368
SPT(16)	2141292084481734337	0 40 90 154 180 184 192 196 240 244 252 256 282 346 396 436	-288290646430
STPT(10)	2141292157709533427	0 2 30 32 42 44 54 56 84 86	-215062847340
TPT(14)	2141292702148880339	0 2 78 80 90 92 120 122 132 134 138 140 222 224	329376499572
SPT(16)	2141293237654953709	0 52 132 160 162 172 174 204 220 250 252 262 264 292 372 424	864882572942
TPT(14)	2141293253426109227	0 2 30 32 222 224 300 302 324 326 342 344 432 434	880653728460
TPT(14)	2141293292934588239	0 2 42 44 150 152 168 170 192 194 390 392 408 410	920162207472
STPT(10)	2141293491768735089	0 2 42 44 60 62 78 80 120 122	1118996354322