Prime p₀= 400344653253358547 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: Cruncher Pete
db: batch=70, k=10, 2 22 2 16 2

SPT(14)	400344525893602361	0 2 86 126 152 156 162 200 206 210 236 276 360 362	-127359756186
SPT(16)	400344542755177519	0 4 28 90 130 144 154 168 220 234 244 258 298 360 384 388	-110498181028
SPT(14)	400344579980739077	0 74 80 84 104 116 120 146 150 162 182 186 192 266	-73272619470
SPT(14)	400344580746075541	0 42 46 118 120 162 192 196 226 268 270 342 346 388	-72507283006
SPT(14)	400344593262897611	0 30 56 66 98 128 150 158 180 210 242 252 278 308	-59990460936
SPT(14)	400344641286093527	0 50 60 90 126 140 156 176 192 206 242 272 282 332	-11967265020
SPT(14)	400344664345342807	0 10 12 16 52 54 72 94 112 114 150 154 156 166	11091984260
TPT(12)	400344683435051699	0 2 12 14 78 80 120 122 180 182 210 212	30181693152
SPT(14)	400344683928461707	0 36 54 106 166 180 186 190 196 210 270 322 340 376	30675103160
SPT(14)	400344704510193007	0 4 24 34 60 90 126 130 166 196 222 232 252 256	51256834460
TPT(12)	400344714357293987	0 2 24 26 30 32 54 56 114 116 150 152	61103935440