Prime p₀= 1018012220752267577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: stoneageman
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1018011424171381721	0 2 42 78 120 132 146 168 230 252 266 278 320 356 396 398	-796580885856
SPT(16)	1018011442205162687	0 6 14 24 36 60 66 90 116 140 146 170 182 192 200 206	-778547104890
SPT(16)	1018011640405244963	0 30 36 44 48 78 134 164 210 240 296 326 330 338 344 374	-580347022614
SPT(16)	1018011786410957881	0 58 82 132 166 186 202 252 256 306 322 342 376 426 450 508	-434341309696
TPT(14)	1018012022759915921	0 2 48 50 78 80 168 170 246 248 258 260 336 338	-197992351656
STPT(10)	1018012198537268159	0 2 78 80 120 122 162 164 240 242	-22214999418
TPT(14)	1018012266368863559	0 2 78 80 132 134 138 140 222 224 288 290 300 302	45616595982
STPT(10)	1018012294540606367	0 2 30 32 72 74 114 116 144 146	73788338790
STPT(10)	1018012295956093967	0 2 60 62 72 74 84 86 144 146	75203826390
STPT(10)	1018012390046591591	0 2 36 38 78 80 120 122 156 158	169294324014
SPT(16)	1018012513526736281	0 2 8 26 30 56 68 86 162 180 192 218 222 240 246 248	292774468704