Prime p₀= 1121895093585976667 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: gemini8
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1121894196675041789	0 2 18 20 30 32 42 44 60 62	-896910934878
STPT(10)	1121894388079326467	0 2 12 14 72 74 132 134 144 146	-705506650200
STPT(12)	1121894504884927679	0 2 12 14 42 44 48 50 78 80 90 92	-588701048988
SPT(16)	1121894538147857813	0 50 54 56 78 140 176 180 254 258 294 356 378 380 384 434	-555438118854
STPT(10)	1121894669674971287	0 2 30 32 42 44 54 56 84 86	-423911005380
SPT(16)	1121894938973524999	0 72 132 154 178 220 222 244 258 280 282 324 348 370 430 502	-154612451668
SPT(16)	1121895170841281273	0 54 56 98 120 128 134 138 236 240 246 254 276 318 320 374	77255304606
SPT(16)	1121895845472674681	0 8 38 62 66 78 126 146 192 212 260 272 276 300 330 338	751886698014
TPT(14)	1121896388822164931	0 2 6 8 126 128 138 140 150 152 306 308 360 362	1295236188264
TPT(14)	1121896514319544979	0 2 78 80 138 140 162 164 168 170 372 374 420 422	1420733568312
SPT(16)	1121896975834693211	0 2 32 38 60 72 98 132 206 240 266 278 300 306 336 338	1882248716544