Prime p₀= 2641475650087380311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JonS
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2641473738741668609	0 20 42 72 78 98 114 128 174 188 204 224 230 260 282 302	-1911345711702
STPT(10)	2641473767614035449	0 2 18 20 30 32 42 44 60 62	-1882473344862
SPT(16)	2641473876865305071	0 6 66 80 98 128 132 156 182 206 210 240 258 272 332 338	-1773222075240
STPT(10)	2641474126456830989	0 2 18 20 30 32 42 44 60 62	-1523630549322
STPT(12)	2641475273260597637	0 2 12 14 42 44 90 92 120 122 132 134	-376826782674
SPT(16)	2641475433941370997	0 22 60 76 90 106 120 124 132 136 150 166 180 196 234 256	-216146009314
STPT(10)	2641475696697135581	0 2 6 8 48 50 90 92 96 98	46609755270
SPT(16)	2641475800404048269	0 60 72 104 110 114 132 162 362 392 410 414 420 452 464 524	150316667958
TPT(14)	2641475944631949881	0 2 30 32 66 68 78 80 96 98 108 110 150 152	294544569570
STPT(10)	2641476711937016279	0 2 18 20 30 32 42 44 60 62	1061849635968
TPT(14)	2641476883603119899	0 2 138 140 150 152 192 194 318 320 348 350 432 434	1233515739588