Prime p₀= 808295667868183679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Theadalus
db: batch=73, k=10, 2 28 2 28 2

SPT(16)	808294484483982239	0 44 60 72 78 80 122 150 182 210 252 254 260 272 288 332	-1183384201440
STPT(10)	808294932063534701	0 2 30 32 60 62 90 92 120 122	-735804648978
STPT(10)	808295073775393871	0 2 6 8 18 20 30 32 36 38	-594092789808
STPT(10)	808295465197341167	0 2 54 56 72 74 90 92 144 146	-202670842512
SPT(16)	808295537762627791	0 52 66 88 90 132 136 142 186 192 196 238 240 262 276 328	-130105555888
SPT(16)	808295581209391553	0 6 18 78 84 108 146 204 230 288 326 350 356 416 428 434	-86658792126
SPT(16)	808295997780779311	0 58 102 118 130 168 220 228 250 258 310 348 360 376 420 478	329912595632
SPT(16)	808296017819859167	0 20 32 44 62 84 114 132 152 170 200 222 240 252 264 284	349951675488
STPT(10)	808296255687396611	0 2 36 38 78 80 120 122 156 158	587819212932
STPT(10)	808296438138383099	0 2 12 14 90 92 168 170 180 182	770270199420
STPT(10)	808296753116682407	0 2 30 32 42 44 54 56 84 86	1085248498728