Prime p₀= 1279591266110114999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=77, k=10, 2 16 2 10 2

SPT(18)	1279590305844004309	0 18 78 82 100 180 190 192 198 304 310 312 322 402 420 424 484 502	-960266110690
SPT(16)	1279590511873929161	0 20 56 132 152 156 180 188 210 218 242 246 266 342 378 398	-754236185838
SPT(16)	1279590548293439741	0 30 60 62 116 128 132 156 242 266 270 282 336 338 368 398	-717816675258
SPT(16)	1279590594847471607	0 56 72 134 156 176 206 210 236 240 270 290 312 374 390 446	-671262643392
STPT(10)	1279590769900990829	0 2 18 20 60 62 102 104 120 122	-496209124170
SPT(16)	1279590941082268547	0 32 102 120 126 152 176 186 200 210 234 260 266 284 354 386	-325027846452
SPT(16)	1279592018872410311	0 32 48 56 78 120 146 150 158 162 188 230 252 260 276 308	752762295312
STPT(10)	1279592073668203121	0 2 30 32 78 80 126 128 156 158	807558088122
STPT(10)	1279592144742812321	0 2 36 38 78 80 120 122 156 158	878632697322
TPT(14)	1279592200715262701	0 2 36 38 120 122 150 152 156 158 276 278 288 290	934605147702
SPT(16)	1279592448594704539	0 22 42 72 84 100 114 142 162 190 204 220 232 262 282 304	1182484589540