Prime p₀= 4506367717494514967 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: Stony666
db: batch=85, k=10, 2 28 2 10 2

SPT(16)	4506365856186215353	0 16 36 40 66 96 106 148 168 210 220 250 276 280 300 316	-1861308299614
STPT(10)	4506366296130480809	0 2 18 20 30 32 42 44 60 62	-1421364034158
SPT(18)	4506366409153896779	0 42 44 48 114 128 150 230 240 242 252 332 354 368 434 438 440 482	-1308340618188
SPT(13)	4506366667217987983	0 36 66 78 108 126 168 210 228 258 270 300 336	-1050276526984
SPT(16)	4506366684113128337	0 54 60 84 104 144 174 180 200 206 236 276 296 320 326 380	-1033381386630
SPT(16)	4506367050815826109	0 12 42 70 102 124 132 144 148 160 168 190 222 250 280 292	-666678688858
SPT(16)	4506368594438037493	0 4 60 64 70 106 108 136 228 256 258 294 300 304 360 364	876943522526
SPT(18)	4506368708690430793	0 24 30 60 70 106 120 148 156 178 186 214 228 264 274 304 310 334	991195915826
SPT(16)	4506369208819069289	0 12 32 42 48 80 90 102 140 152 162 194 200 210 230 242	1491324554322
SPT(16)	4506369512294360357	0 30 62 80 150 164 204 230 324 350 390 404 474 492 524 554	1794799845390
SPT(16)	4506369679279065623	0 36 78 120 134 186 204 224 240 260 278 330 344 386 428 464	1961784550656