Prime p₀= 1006189204917953657 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: gemini8
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1006188380582579179	0 12 52 58 72 82 100 108 214 222 240 250 264 270 310 322	-824335374478
STPT(10)	1006188596684624501	0 2 30 32 78 80 126 128 156 158	-608233329156
STPT(10)	1006188616714711481	0 2 6 8 18 20 30 32 36 38	-588203242176
SPT(16)	1006188617151160871	0 8 50 60 68 96 98 116 180 198 200 228 236 246 288 296	-587766792786
STPT(10)	1006188865137375497	0 2 30 32 42 44 54 56 84 86	-339780578160
SPT(16)	1006189090511324021	0 60 68 96 102 156 228 252 266 290 362 416 422 450 458 518	-114406629636
SPT(16)	1006189336738790653	0 18 64 78 126 144 168 190 234 256 280 298 346 360 406 424	131820836996
SPT(16)	1006189351837232747	0 2 20 62 72 74 104 140 174 210 240 242 252 294 312 314	146919279090
SPT(16)	1006189399024835833	0 30 34 66 120 126 150 174 220 244 268 274 328 360 364 394	194106882176
SPT(16)	1006189674612243853	0 28 34 46 54 58 70 120 124 174 186 190 198 210 216 244	469694290196
SPT(16)	1006189712191245401	0 8 36 66 78 98 128 138 140 150 180 200 212 242 270 278	507273291744