Prime p₀= 2641260778081756877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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 52 2 16 2

SPT(16)	2641259894461686857	0 14 24 42 60 74 86 90 116 120 132 146 164 182 192 206	-883620070020
STPT(10)	2641260344954251019	0 2 18 20 30 32 42 44 60 62	-433127505858
STPT(10)	2641260373081077071	0 2 36 38 78 80 120 122 156 158	-405000679806
STPT(10)	2641260472132849751	0 2 30 32 60 62 90 92 120 122	-305948907126
SPT(16)	2641260518202488191	0 6 22 28 58 60 88 132 226 270 298 300 330 336 352 358	-259879268686
SPT(16)	2641260535220793781	0 12 16 18 40 70 100 120 148 168 198 228 250 252 256 268	-242860963096
SPT(16)	2641260999026658637	0 84 96 124 132 160 172 184 252 264 276 304 312 340 352 436	220944901760
STPT(10)	2641261126480499219	0 2 48 50 90 92 132 134 180 182	348398742342
STPT(10)	2641261328540936111	0 2 6 8 48 50 90 92 96 98	550459179234
SPT(16)	2641261627928621531	0 42 78 92 162 218 228 240 248 260 270 326 396 410 446 488	849846864654
STPT(10)	2641261698669871829	0 2 138 140 180 182 222 224 360 362	920588114952