Prime p₀= 2004249794330884349 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: Orange Kid
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2004248244998392391	0 6 18 56 92 122 150 176 192 218 246 276 312 350 362 368	-1549332491958
SPT(16)	2004248615531619601	0 18 30 40 46 58 88 106 162 180 210 222 228 238 250 268	-1178799264748
SPT(18)	2004248805547684207	0 24 46 94 102 114 150 184 196 210 222 256 292 304 312 360 382 406	-988783200142
STPT(10)	2004249036197417897	0 2 30 32 42 44 54 56 84 86	-758133466452
TPT(14)	2004249164395226081	0 2 48 50 60 62 168 170 180 182 216 218 240 242	-629935658268
SPT(16)	2004249360165630241	0 28 46 76 108 112 138 186 202 250 276 280 312 342 360 388	-434165254108
STPT(10)	2004249836536290521	0 2 6 8 48 50 90 92 96 98	42205406172
SPT(16)	2004249841234385959	0 4 34 48 60 84 90 114 184 208 214 238 250 264 294 298	46903501610
STPT(10)	2004249872356849301	0 2 30 32 60 62 90 92 120 122	78025964952
SPT(16)	2004249906916518881	0 20 42 60 90 102 116 126 152 162 176 188 218 236 258 278	112585634532
STPT(10)	2004250055614506809	0 2 48 50 90 92 132 134 180 182	261283622460