Prime p₀= 1012178317681537607 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

STPT(10)	1012177357635630869	0 2 48 50 90 92 132 134 180 182	-960045906738
STPT(10)	1012177525427528987	0 2 72 74 102 104 132 134 204 206	-792254008620
SPT(16)	1012177641345720947	0 14 56 74 122 140 144 180 236 272 276 294 342 360 402 416	-676335816660
SPT(16)	1012177650069434687	0 14 20 54 62 80 86 144 152 210 216 234 242 276 282 296	-667612102920
STPT(10)	1012178019491072219	0 2 30 32 60 62 90 92 120 122	-298190465388
STPT(10)	1012178028351755537	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	179644074402
SPT(16)	1012178842938205889	0 8 14 18 30 78 108 168 200 260 290 338 350 354 360 368	525256668282
SPT(16)	1012179681241023397	0 22 70 84 100 114 120 126 160 166 172 186 202 216 264 286	1363559485790
SPT(16)	1012179828678969079	0 28 42 82 90 114 132 142 150 160 178 202 210 250 264 292	1510997431472
TPT(14)	1012180024402576187	0 2 54 56 72 74 114 116 132 134 264 266 342 344	1706721038580