Prime p₀= 1028008187475617597 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: HenkM
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1028006244510476219	0 2 18 20 30 32 42 44 60 62	-1942965141378
SPT(16)	1028006473731178901	0 18 36 60 66 98 102 176 192 266 270 302 308 332 350 368	-1713744438696
SPT(16)	1028007002560906187	0 24 50 56 102 144 152 164 222 234 242 284 330 336 362 386	-1184914711410
STPT(10)	1028007185934816299	0 2 42 44 60 62 78 80 120 122	-1001540801298
STPT(10)	1028007632583048449	0 2 12 14 90 92 168 170 180 182	-554892569148
STPT(10)	1028007658194147689	0 2 42 44 60 62 78 80 120 122	-529281469908
SPT(16)	1028008224696488089	0 10 40 54 70 82 84 90 112 118 120 132 148 162 192 202	37220870492
SPT(16)	1028008287489677959	0 10 48 58 70 82 100 132 160 192 210 222 234 244 282 292	100014060362
SPT(16)	1028008464561083897	0 14 20 36 50 72 92 180 206 294 314 336 350 366 372 386	277085466300
STPT(10)	1028008615816861529	0 2 42 44 90 92 138 140 180 182	428341243932
STPT(10)	1028008625095936241	0 2 6 8 18 20 30 32 36 38	437620318644