Prime p₀= 1257871438956197249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: HenkM
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1257870473567564473	0 64 70 78 144 168 214 268 276 330 376 400 466 474 480 544	-965388632776
STPT(10)	1257870690384207797	0 2 72 74 102 104 132 134 204 206	-748571989452
SPT(16)	1257870765980796193	0 6 28 64 76 100 120 136 168 184 204 228 240 276 298 304	-672975401056
SPT(16)	1257870834821535689	0 24 62 80 98 128 150 152 210 212 234 264 282 300 338 362	-604134661560
STPT(10)	1257871101749011661	0 2 6 8 18 20 30 32 36 38	-337207185588
SPT(16)	1257871308347801123	0 6 8 36 48 86 126 158 198 230 270 308 320 348 350 356	-130608396126
SPT(16)	1257871734830528821	0 82 108 112 156 160 180 208 210 238 258 262 306 310 336 418	295874331572
SPT(16)	1257871750990383773	0 18 38 80 110 138 140 180 194 234 236 264 294 336 356 374	312034186524
STPT(10)	1257871849549919477	0 2 30 32 42 44 54 56 84 86	410593722228
SPT(16)	1257872011128334237	0 16 52 70 94 114 132 136 150 154 172 192 216 234 270 286	572172136988
STPT(12)	1257872117297685221	0 2 36 38 48 50 78 80 90 92 126 128	678341487972