Prime p₀= 1324408008562324757 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)	1324406220908445527	0 2 30 32 72 74 114 116 144 146	-1787653879230
SPT(16)	1324406315065610111	0 26 30 60 80 96 102 150 242 290 296 312 332 362 366 392	-1693496714646
STPT(10)	1324406809219809611	0 2 6 8 18 20 30 32 36 38	-1199342515146
SPT(16)	1324406854816056443	0 6 14 38 66 90 144 146 288 290 344 368 396 420 428 434	-1153746268314
STPT(10)	1324407390483370481	0 2 36 38 78 80 120 122 156 158	-618078954276
TPT(14)	1324407454391084177	0 2 72 74 132 134 174 176 252 254 270 272 312 314	-554171240580
TPT(14)	1324408018972036517	0 2 24 26 54 56 120 122 162 164 192 194 204 206	10409711760
STPT(10)	1324408049791335371	0 2 36 38 78 80 120 122 156 158	41229010614
SPT(16)	1324408721073101311	0 48 70 88 102 118 130 180 190 240 252 268 282 300 322 370	712510776554
SPT(16)	1324409318172003299	0 32 42 68 74 144 218 230 342 354 428 498 504 530 540 572	1309609678542
SPT(16)	1324409584219122769	0 58 90 120 130 148 168 172 198 202 222 240 250 280 312 370	1575656798012