Prime p₀= 1014138632681053727 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

SPT(16)	1014137315982341693	0 18 24 30 80 114 140 146 168 174 200 234 284 290 296 314	-1316698712034
STPT(10)	1014137407169827151	0 2 30 32 78 80 126 128 156 158	-1225511226576
SPT(16)	1014137647866203957	0 12 42 56 62 74 96 116 210 230 252 264 270 284 314 326	-984814849770
STPT(10)	1014137751008648081	0 2 6 8 48 50 90 92 96 98	-881672405646
SPT(16)	1014137817225989647	0 34 52 60 210 232 244 270 286 312 324 346 496 504 522 556	-815455064080
SPT(16)	1014138567095722487	0 30 66 72 110 150 152 174 332 354 356 396 434 440 476 506	-65585331240
SPT(16)	1014138733550155757	0 14 32 66 92 110 146 152 174 180 216 234 260 294 312 326	100869102030
STPT(10)	1014138916583032949	0 2 18 20 60 62 102 104 120 122	283901979222
SPT(16)	1014138951617915807	0 14 66 74 90 92 126 224 312 410 444 446 462 470 522 536	318936862080
SPT(16)	1014139019396950471	0 6 10 36 40 70 78 96 190 208 216 246 250 276 280 286	386715896744
SPT(16)	1014139054727577133	0 24 28 54 60 66 70 106 108 144 148 154 160 186 190 214	422046523406