Prime p₀= 1538870419987229897 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: crashtech
db: batch=78, k=10, 2 10 2 28 2

SPT(16)	1538869073803631347	0 40 42 60 66 96 120 126 166 172 196 226 232 250 252 292	-1346183598550
SPT(16)	1538869104463877983	0 18 24 70 84 88 108 154 174 220 240 244 258 304 310 328	-1315523351914
STPT(10)	1538869645553166467	0 2 72 74 102 104 132 134 204 206	-774434063430
TPT(14)	1538869774469350007	0 2 42 44 84 86 102 104 114 116 144 146 234 236	-645517879890
SPT(16)	1538869820326550483	0 48 50 78 114 128 168 176 198 206 246 260 296 324 326 374	-599660679414
SPT(16)	1538869869025416413	0 30 44 56 68 120 146 150 194 198 224 276 288 300 314 344	-550961813484
TPT(14)	1538870770611168017	0 2 60 62 90 92 102 104 114 116 270 272 282 284	350623938120
SPT(16)	1538870991011685781	0 16 60 102 108 120 190 192 196 198 268 280 286 328 372 388	571024455884
TPT(14)	1538871209687217251	0 2 30 32 96 98 138 140 156 158 180 182 228 230	789699987354
STPT(12)	1538871213602345849	0 2 30 32 42 44 78 80 90 92 120 122	793615115952
SPT(16)	1538871375210411673	0 16 18 34 40 88 106 120 124 138 156 204 210 226 228 244	955223181776