Prime p₀= 805576893244897589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Ralfy
db: batch=73, k=10, 2 10 2 16 2

SPT(16)	805575171984224357	0 42 44 56 80 122 162 192 224 254 294 336 360 372 374 416	-1721260673232
SPT(16)	805576052173931771	0 50 56 90 108 120 132 146 162 176 188 200 218 252 258 308	-841070965818
SPT(16)	805576091265272843	0 18 26 38 80 104 110 138 146 174 180 204 246 258 266 284	-801979624746
STPT(10)	805576197303717641	0 2 6 8 48 50 90 92 96 98	-695941179948
SPT(16)	805576358025248863	0 54 88 114 118 120 124 138 190 204 208 210 214 240 274 328	-535219648726
STPT(10)	805576369587205817	0 2 42 44 72 74 102 104 144 146	-523657691772
STPT(10)	805577142480938759	0 2 162 164 180 182 198 200 360 362	249236041170
SPT(16)	805577441379612911	0 8 20 48 92 98 162 176 282 296 360 366 410 438 450 458	548134715322
STPT(10)	805577478994370177	0 2 30 32 42 44 54 56 84 86	585749472588
SPT(16)	805577588918649653	0 8 36 74 86 96 116 170 234 288 308 318 330 368 396 404	695673752064
STPT(10)	805577782073505209	0 2 18 20 30 32 42 44 60 62	888828607620