Prime p₀= 2012717085463226027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Chooka
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2012715995070534337	0 6 30 70 82 90 126 150 166 190 226 234 246 286 310 316	-1090392691690
STPT(10)	2012716490432727419	0 2 18 20 30 32 42 44 60 62	-595030498608
SPT(16)	2012716629977059801	0 16 36 48 72 82 100 112 126 138 156 166 190 202 222 238	-455486166226
SPT(16)	2012716784375890793	0 14 18 104 110 188 224 270 308 354 390 468 474 560 564 578	-301087335234
STPT(10)	2012716876073575349	0 2 18 20 30 32 42 44 60 62	-209389650678
STPT(10)	2012716954427993237	0 2 54 56 72 74 90 92 144 146	-131035232790
SPT(16)	2012717142255135083	0 48 80 104 110 120 126 140 144 158 164 174 180 204 236 284	56791909056
SPT(16)	2012717650792218913	0 30 54 64 180 184 210 246 274 310 336 340 456 466 490 520	565328992886
STPT(10)	2012717663334901667	0 2 60 62 72 74 84 86 144 146	577871675640
STPT(10)	2012717671991590391	0 2 36 38 78 80 120 122 156 158	586528364364
SPT(16)	2012717769802108751	0 18 30 32 48 68 90 92 96 98 120 140 156 158 170 188	684338882724