Prime p₀= 1579369035441489959 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: crashtech
db: batch=78, k=10, 2 16 2 10 2

STPT(10)	1579366975651236227	0 2 30 32 42 44 54 56 84 86	-2059790253732
STPT(10)	1579367232355879409	0 2 42 44 60 62 78 80 120 122	-1803085610550
STPT(10)	1579367404091069777	0 2 30 32 60 62 90 92 120 122	-1631350420182
SPT(16)	1579367460060402709	0 88 90 102 120 124 144 204 208 268 288 292 310 322 324 412	-1575381087250
SPT(16)	1579367803163656691	0 6 12 92 138 176 180 188 240 248 252 290 336 416 422 428	-1232277833268
SPT(16)	1579368751233191993	0 86 98 110 156 188 200 240 254 294 306 338 384 396 408 494	-284208297966
STPT(10)	1579369488911266571	0 2 30 32 78 80 126 128 156 158	453469776612
SPT(16)	1579369564378685707	0 40 94 102 106 124 144 150 166 172 192 210 214 222 276 316	528937195748
SPT(20)	1579370059064439743	0 38 78 90 156 176 194 210 258 266 288 296 344 360 378 398 464 476 516 554	1023622949784
SPT(16)	1579370192449905967	0 12 24 30 90 100 114 150 184 220 234 244 304 310 322 334	1157008416008
SPT(16)	1579370332437261743	0 44 56 60 66 114 144 170 240 266 296 344 350 354 366 410	1296995771784