Prime p₀= 1012178028351755537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Spectrum
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1012177310695980223	0 4 34 54 58 84 106 120 124 138 160 186 190 210 240 244	-717655775314
STPT(10)	1012177357635630869	0 2 48 50 90 92 132 134 180 182	-670716124668
STPT(10)	1012177525427528987	0 2 72 74 102 104 132 134 204 206	-502924226550
SPT(16)	1012177641345720947	0 14 56 74 122 140 144 180 236 272 276 294 342 360 402 416	-387006034590
SPT(16)	1012177650069434687	0 14 20 54 62 80 86 144 152 210 216 234 242 276 282 296	-378282320850
STPT(10)	1012178019491072219	0 2 30 32 60 62 90 92 120 122	-8860683318
STPT(10)	1012178317681537607	0 2 30 32 42 44 54 56 84 86	289329782070
SPT(16)	1012178497325612009	0 2 18 32 42 60 72 98 144 170 182 200 210 224 240 242	468973856472
SPT(16)	1012178842938205889	0 8 14 18 30 78 108 168 200 260 290 338 350 354 360 368	814586450352
SPT(16)	1012179681241023397	0 22 70 84 100 114 120 126 160 166 172 186 202 216 264 286	1652889267860
SPT(16)	1012179828678969079	0 28 42 82 90 114 132 142 150 160 178 202 210 250 264 292	1800327213542