Prime p₀= 1156002844747473599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1156001858494814803	0 6 16 30 66 120 136 154 156 174 190 244 280 294 304 310	-986252658796
SPT(16)	1156002288128815319	0 14 24 44 80 84 110 132 212 234 260 264 300 320 330 344	-556618658280
SPT(16)	1156002309058914301	0 6 28 88 90 112 130 132 166 168 186 208 210 270 292 298	-535688559298
SPT(16)	1156002535250585521	0 10 28 48 76 78 90 186 202 298 310 312 340 360 378 388	-309496888078
TPT(14)	1156002719810097371	0 2 60 62 78 80 198 200 216 218 456 458 546 548	-124937376228
TPT(14)	1156002747509486759	0 2 42 44 192 194 210 212 240 242 390 392 498 500	-97237986840
STPT(10)	1156002855925382747	0 2 42 44 72 74 102 104 144 146	11177909148
SPT(16)	1156003060846221871	0 28 112 142 156 232 252 280 288 316 336 412 426 456 540 568	216098748272
SPT(16)	1156003527289092887	0 14 66 86 126 140 146 164 192 210 216 230 270 290 342 356	682541619288
SPT(16)	1156003899142289969	0 2 18 30 32 98 104 144 188 228 234 300 302 314 330 332	1054394816370
STPT(10)	1156004142370259849	0 2 18 20 60 62 102 104 120 122	1297622786250