Prime p₀= 1082010372259332587 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1082009668814359633	0 28 34 54 64 78 124 138 160 174 220 234 244 264 270 298	-703444972954
SPT(16)	1082009795833672273	0 10 28 54 96 100 138 148 156 166 204 208 250 276 294 304	-576425660314
TPT(14)	1082009835780001277	0 2 84 86 90 92 114 116 162 164 204 206 240 242	-536479331310
SPT(16)	1082009953814128021	0 46 78 82 100 112 148 160 168 180 216 228 246 250 282 328	-418445204566
STPT(10)	1082010012968212577	0 2 12 14 42 44 72 74 84 86	-359291120010
SPT(18)	1082010321186970951	0 12 40 46 70 76 90 102 132 220 250 262 276 282 306 312 340 352	-51072361636
STPT(10)	1082010699635989547	0 2 30 32 72 74 114 116 144 146	327376656960
SPT(16)	1082010719227033759	0 28 30 34 48 52 70 88 114 132 150 154 168 172 174 202	346967701172
SPT(16)	1082010837594179761	0 30 42 46 108 112 132 156 232 256 276 280 342 346 358 388	465334847174
STPT(10)	1082010996002515121	0 2 6 8 48 50 90 92 96 98	623743182534
STPT(10)	1082011415538696857	0 2 30 32 42 44 54 56 84 86	1043279364270