Prime p₀= 1691730023100507317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: amazing
db: batch=79, k=10, 2 10 2 58 2

SPT(16)	1691728036463715499	0 18 30 40 82 100 120 132 238 250 270 288 330 340 352 370	-1986636791818
SPT(18)	1691728200894171931	0 46 60 72 82 148 162 192 208 210 226 256 270 336 346 358 372 418	-1822206335386
SPT(16)	1691728978199082587	0 20 62 72 74 86 90 116 240 266 270 282 284 294 336 356	-1044901424730
SPT(16)	1691729149918521289	0 30 52 60 90 102 112 114 130 132 142 154 184 192 214 244	-873181986028
STPT(10)	1691729600189004317	0 2 30 32 42 44 54 56 84 86	-422911503000
STPT(12)	1691729766390207461	0 2 66 68 150 152 156 158 240 242 306 308	-256710299856
SPT(16)	1691730258257329993	0 10 16 24 106 126 150 156 238 244 268 288 370 378 384 394	235156822676
SPT(16)	1691730576016891439	0 8 18 44 98 102 122 164 198 240 260 264 318 344 354 362	552916384122
SPT(16)	1691730626730082997	0 6 44 60 86 90 146 170 186 210 266 270 296 312 350 356	603629575680
SPT(16)	1691731338380781421	0 6 16 42 48 72 118 132 136 150 196 220 226 252 262 268	1315280274104
TPT(14)	1691731936019957171	0 2 30 32 60 62 96 98 138 140 168 170 240 242	1912919449854