Prime p₀= 1085706767810260667 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: [SG]ATA-Rolf
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1085705816288866009	0 34 54 70 112 154 172 174 178 180 198 240 282 298 318 352	-951521394658
SPT(16)	1085706003696649201	0 48 52 58 70 88 100 118 150 168 180 198 210 216 220 268	-764113611466
SPT(16)	1085706409115384197	0 10 30 42 66 94 130 232 234 336 372 400 424 436 456 466	-358694876470
STPT(10)	1085706442575174317	0 2 42 44 72 74 102 104 144 146	-325235086350
STPT(10)	1085706453554561981	0 2 6 8 18 20 30 32 36 38	-314255698686
SPT(18)	1085706598719973031	0 36 48 90 102 120 128 170 176 252 258 300 308 326 338 380 392 428	-169090287636
SPT(16)	1085706811934803439	0 20 54 72 138 188 234 258 314 338 384 434 500 518 552 572	44124542772
STPT(10)	1085707489427392607	0 2 12 14 42 44 72 74 84 86	721617131940
STPT(10)	1085708156581230407	0 2 30 32 42 44 54 56 84 86	1388770969740
SPT(16)	1085708478273562439	0 32 60 90 92 104 158 164 168 174 228 240 242 272 300 332	1710463301772
STPT(10)	1085708613481482041	0 2 6 8 18 20 30 32 36 38	1845671221374