Prime p₀= 2562628067851652831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2562626125722697451	0 6 20 30 102 132 140 170 198 228 236 266 338 348 362 368	-1942128955380
SPT(16)	2562626297976315709	0 64 88 130 154 162 168 202 300 334 340 348 372 414 438 502	-1769875337122
STPT(10)	2562626320192554191	0 2 36 38 78 80 120 122 156 158	-1747659098640
SPT(18)	2562627070864466689	0 4 42 48 52 90 144 168 172 180 184 208 262 300 304 310 348 352	-996987186142
SPT(16)	2562627678609801139	0 72 88 112 138 150 190 220 240 270 310 322 348 372 388 460	-389241851692
STPT(10)	2562627708824732441	0 2 6 8 48 50 90 92 96 98	-359026920390
SPT(18)	2562628278694081319	0 12 54 78 102 128 144 150 164 198 212 218 234 260 284 308 350 362	210842428488
STPT(10)	2562628411018616849	0 2 18 20 30 32 42 44 60 62	343166964018
SPT(16)	2562628415956726259	0 30 44 48 50 62 80 98 114 132 150 162 164 168 182 212	348105073428
STPT(10)	2562628552741752767	0 2 24 26 42 44 60 62 84 86	484890099936
STPT(10)	2562628592476079717	0 2 42 44 72 74 102 104 144 146	524624426886