Prime p₀= 1013457294461553047 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

TPT(14)	1013456309980910879	0 2 12 14 30 32 42 44 72 74 180 182 210 212	-984480642168
SPT(16)	1013456340827302343	0 6 90 104 138 200 228 240 254 266 294 356 390 404 488 494	-953634250704
STPT(10)	1013456695150439171	0 2 30 32 78 80 126 128 156 158	-599311113876
SPT(16)	1013456946886787773	0 24 28 40 90 96 100 130 264 294 298 304 354 366 370 394	-347574765274
SPT(16)	1013457005696569327	0 12 40 82 124 132 136 150 196 210 214 222 264 306 334 346	-288764983720
SPT(16)	1013457027651093061	0 40 46 78 106 148 180 186 232 238 270 312 340 372 378 418	-266810459986
STPT(10)	1013457728475639539	0 2 30 32 120 122 210 212 240 242	434014086492
SPT(16)	1013457961413204017	0 32 44 62 102 126 162 270 296 404 440 464 504 522 534 566	666951650970
SPT(16)	1013458036874255261	0 18 90 132 146 158 170 200 258 288 300 312 326 368 440 458	742412702214
SPT(16)	1013458388838104543	0 24 66 68 96 98 116 138 206 228 246 248 276 278 320 344	1094376551496
SPT(16)	1013458510051496221	0 10 40 48 66 96 118 130 138 150 172 202 220 228 258 268	1215589943174