Prime p₀= 1070409767375108957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Skivelitis2
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1070408840535031337	0 14 20 26 84 96 104 110 156 162 170 182 240 246 252 266	-926840077620
STPT(10)	1070409048188329901	0 2 6 8 18 20 30 32 36 38	-719186779056
SPT(16)	1070409106553785961	0 20 56 86 96 176 212 222 296 306 342 422 432 462 498 518	-660821322996
SPT(16)	1070409186826598569	0 48 82 108 130 192 208 210 220 222 238 300 322 348 382 430	-580548510388
SPT(16)	1070409374724819007	0 16 22 36 42 90 114 124 162 172 196 244 250 264 270 286	-392650289950
STPT(10)	1070409506521776737	0 2 30 32 42 44 54 56 84 86	-260853332220
TPT(14)	1070409850827024569	0 2 42 44 252 254 318 320 408 410 420 422 492 494	83451915612
SPT(16)	1070409992497206943	0 18 30 40 46 54 60 156 178 274 280 288 294 304 316 334	225122097986
SPT(13)	1070410049468415323	0 6 24 30 54 84 90 96 126 150 156 174 180	282093306366
SPT(16)	1070410113753435901	0 10 12 88 90 96 108 136 162 190 202 208 210 286 288 298	346378326944
SPT(16)	1070410148892373519	0 10 24 40 48 54 58 70 72 84 88 94 102 118 132 142	381517264562