Prime p₀= 2677593009577629851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2677592087238230419	0 22 48 78 102 108 112 144 178 210 214 220 244 274 300 322	-922339399432
SPT(16)	2677592096359419769	0 4 10 12 28 40 70 78 154 162 192 204 220 222 228 232	-913218210082
SPT(16)	2677592143074899471	0 32 42 50 110 182 186 260 312 386 390 462 522 530 540 572	-866502730380
SPT(16)	2677592351912850173	0 26 44 48 86 90 96 120 194 218 224 228 266 270 288 314	-657664779678
STPT(10)	2677592893732122437	0 2 30 32 42 44 54 56 84 86	-115845507414
SPT(16)	2677592968633684523	0 14 38 56 90 104 126 140 174 188 210 224 258 276 300 314	-40943945328
SPT(16)	2677593322889884877	0 2 14 30 90 140 144 156 230 242 246 296 356 372 384 386	313312255026
TPT(20)	2677593551659794569	0 2 18 20 42 44 72 74 222 224 228 230 258 260 378 380 492 494 510 512	542082164718
SPT(18)	2677593771420263023	0 4 16 54 60 118 136 184 196 198 210 258 276 334 340 378 390 394	761842633172
STPT(10)	2677594085368035929	0 2 18 20 30 32 42 44 60 62	1075790406078
STPT(10)	2677594131906373439	0 2 12 14 90 92 168 170 180 182	1122328743588