Prime p₀= 1320786544841138117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1320785420275380089	0 2 30 32 60 62 90 92 120 122	-1124565758028
SPT(16)	1320785467453337779	0 4 10 12 22 34 82 202 222 342 390 402 412 414 420 424	-1077387800338
SPT(16)	1320785502791511049	0 12 28 42 52 90 108 130 222 244 262 300 310 324 340 352	-1042049627068
SPT(16)	1320785526107565613	0 46 84 120 124 144 168 186 208 226 250 270 274 310 348 394	-1018733572504
STPT(10)	1320785851467404261	0 2 30 32 60 62 90 92 120 122	-693373733856
SPT(16)	1320785863667389283	0 14 30 50 84 90 140 194 234 288 338 344 378 398 414 428	-681173748834
STPT(10)	1320786797845639877	0 2 30 32 42 44 54 56 84 86	253004501760
SPT(16)	1320786826238239639	0 24 60 82 102 112 118 132 220 234 240 250 270 292 328 352	281397101522
STPT(10)	1320787125443641391	0 2 6 8 48 50 90 92 96 98	580602503274
SPT(16)	1320787263821424689	0 12 20 92 104 122 164 170 174 180 222 240 252 324 332 344	718980286572
SPT(16)	1320787282910592461	0 38 42 48 72 90 150 170 228 248 308 326 350 356 360 398	738069454344