Prime p₀= 2069663766020663357 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: Cruncher Pete
db: batch=80, k=10, 2 28 2 10 2

TPT(14)	2069663229665211149	0 2 30 32 72 74 90 92 132 134 138 140 180 182	-536355452208
SPT(16)	2069663252640981841	0 18 72 82 88 90 100 138 160 198 208 210 216 226 280 298	-513379681516
TPT(14)	2069663272669284749	0 2 18 20 42 44 78 80 120 122 132 134 210 212	-493351378608
STPT(10)	2069663477445528659	0 2 30 32 60 62 90 92 120 122	-288575134698
SPT(16)	2069663636180133737	0 6 14 24 50 80 104 120 146 162 186 216 242 252 260 266	-129840529620
SPT(16)	2069663676113150053	0 58 60 70 154 180 184 214 234 264 268 294 378 388 390 448	-89907513304
STPT(10)	2069663845792095701	0 2 36 38 78 80 120 122 156 158	79771432344
STPT(10)	2069664264982636937	0 2 24 26 42 44 60 62 84 86	498961973580
SPT(16)	2069664460718841071	0 18 38 66 86 108 126 152 156 182 200 222 242 270 290 308	694698177714
SPT(16)	2069664471841262627	0 14 36 92 104 134 146 206 210 270 282 312 324 380 402 416	705820599270
STPT(10)	2069664576177733289	0 2 18 20 30 32 42 44 60 62	810157069932