Prime p₀= 2776306695746356439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: JayPi
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2776305187476323519	0 20 32 44 78 102 104 162 170 228 230 254 288 300 312 332	-1508270032920
TPT(14)	2776305354174836039	0 2 108 110 138 140 318 320 342 344 372 374 402 404	-1341571520400
SPT(16)	2776305425139495071	0 30 32 72 78 98 140 182 258 300 342 362 368 408 410 440	-1270606861368
STPT(10)	2776305515489019329	0 2 12 14 30 32 48 50 60 62	-1180257337110
TPT(14)	2776305832260891941	0 2 6 8 36 38 96 98 126 128 138 140 150 152	-863485464498
STPT(10)	2776306095811512917	0 2 42 44 102 104 162 164 204 206	-599934843522
SPT(16)	2776307034527410543	0 24 40 48 66 90 108 136 168 196 214 238 256 264 280 304	338781054104
SPT(16)	2776307068103906809	0 24 54 64 72 82 108 114 148 154 180 190 198 208 238 262	372357550370
STPT(10)	2776307468006860787	0 2 24 26 42 44 60 62 84 86	772260504348
SPT(16)	2776307625134881127	0 2 12 42 44 104 132 170 174 212 240 300 302 332 342 344	929388524688
STPT(10)	2776307828723612999	0 2 12 14 30 32 48 50 60 62	1132977256560