Prime p₀= 1156002855925382747 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: Megacruncher
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1156002288128815319	0 14 24 44 80 84 110 132 212 234 260 264 300 320 330 344	-567796567428
SPT(16)	1156002309058914301	0 6 28 88 90 112 130 132 166 168 186 208 210 270 292 298	-546866468446
SPT(16)	1156002535250585521	0 10 28 48 76 78 90 186 202 298 310 312 340 360 378 388	-320674797226
TPT(14)	1156002719810097371	0 2 60 62 78 80 198 200 216 218 456 458 546 548	-136115285376
TPT(14)	1156002747509486759	0 2 42 44 192 194 210 212 240 242 390 392 498 500	-108415895988
STPT(10)	1156002844747473599	0 2 30 32 60 62 90 92 120 122	-11177909148
SPT(16)	1156003060846221871	0 28 112 142 156 232 252 280 288 316 336 412 426 456 540 568	204920839124
SPT(16)	1156003527289092887	0 14 66 86 126 140 146 164 192 210 216 230 270 290 342 356	671363710140
SPT(16)	1156003899142289969	0 2 18 30 32 98 104 144 188 228 234 300 302 314 330 332	1043216907222
STPT(10)	1156004142370259849	0 2 18 20 60 62 102 104 120 122	1286444877102
STPT(10)	1156004516361398489	0 2 42 44 60 62 78 80 120 122	1660436015742