Prime p₀= 868020718905145997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: scrap
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	868020325551525371	0 8 26 86 96 120 128 140 198 210 218 242 252 312 330 338	-393353620626
SPT(16)	868020404695029821	0 2 30 78 98 170 176 186 212 222 228 300 320 368 396 398	-314210116176
SPT(16)	868020415502634167	0 2 44 56 102 140 144 156 350 362 366 404 450 462 504 506	-303402511830
SPT(16)	868020478396698727	0 22 36 70 90 112 150 172 174 196 234 256 276 310 324 346	-240508447270
SPT(16)	868020575822235419	0 38 90 110 122 128 150 180 290 320 342 348 360 380 432 470	-143082910578
STPT(10)	868020603636310181	0 2 30 32 78 80 126 128 156 158	-115268835816
SPT(16)	868020811723031419	0 18 22 48 60 84 148 160 222 234 298 322 334 360 364 382	92817885422
STPT(10)	868021081397088737	0 2 24 26 42 44 60 62 84 86	362491942740
STPT(10)	868021151935303967	0 2 12 14 42 44 72 74 84 86	433030157970
STPT(10)	868021255882302419	0 2 18 20 30 32 42 44 60 62	536977156422
SPT(16)	868021296491875457	0 2 12 44 92 176 192 194 222 224 240 324 372 404 414 416	577586729460