Prime p₀= 2561548466179565207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2561547204355207511	0 6 32 48 50 78 120 126 182 188 230 258 260 276 302 308	-1261824357696
STPT(10)	2561547705825357827	0 2 30 32 42 44 54 56 84 86	-760354207380
SPT(16)	2561547897266504557	0 6 22 34 60 94 124 126 130 132 162 196 222 234 250 256	-568913060650
SPT(16)	2561548061151271133	0 18 78 140 144 174 186 194 210 218 230 260 264 326 386 404	-405028294074
SPT(16)	2561548262391631517	0 26 32 36 50 54 92 120 236 264 302 306 320 324 330 356	-203787933690
SPT(16)	2561548409381211493	0 18 24 34 36 40 60 78 136 154 174 178 180 190 196 214	-56798353714
STPT(10)	2561548484264588849	0 2 18 20 30 32 42 44 60 62	18085023642
STPT(10)	2561548647232527389	0 2 48 50 90 92 132 134 180 182	181052962182
STPT(10)	2561548699144184987	0 2 30 32 42 44 54 56 84 86	232964619780
STPT(10)	2561548719919203587	0 2 24 26 42 44 60 62 84 86	253739638380
SPT(16)	2561548848502114019	0 2 30 68 92 108 120 138 152 170 182 198 222 260 288 290	382322548812