Prime p₀= 1285915201443436349 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1285913543614774537	0 24 66 82 84 114 150 154 192 196 232 262 264 280 322 346	-1657828661812
STPT(10)	1285914184468611557	0 2 30 32 72 74 114 116 144 146	-1016974824792
SPT(16)	1285914476383079087	0 56 62 80 102 110 122 132 164 174 186 194 216 234 240 296	-725060357262
SPT(16)	1285914651771038077	0 60 66 70 130 150 166 196 246 276 292 312 372 376 382 442	-549672398272
STPT(10)	1285914873985442159	0 2 18 20 30 32 42 44 60 62	-327457994190
SPT(16)	1285915171056700531	0 28 58 72 130 132 138 142 198 202 208 210 268 282 312 340	-30386735818
STPT(10)	1285915357817535617	0 2 30 32 42 44 54 56 84 86	156374099268
SPT(16)	1285915726638331097	0 12 30 44 60 84 110 116 150 156 182 206 222 236 254 266	525194894748
STPT(10)	1285915743538244681	0 2 36 38 78 80 120 122 156 158	542094808332
SPT(16)	1285916208448662779	0 30 44 72 74 114 150 192 302 344 380 420 422 450 464 494	1007005226430
SPT(16)	1285916231993604977	0 2 56 80 134 146 150 156 230 236 240 252 306 330 384 386	1030550168628