Prime p₀= 1264426535617119377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1264423860761238407	0 2 24 26 42 44 60 62 84 86	-2674855880970
SPT(16)	1264423899207035363	0 14 30 38 54 86 104 150 254 300 318 350 366 374 390 404	-2636410084014
SPT(16)	1264423940551050527	0 20 36 44 72 114 122 134 162 174 182 224 252 260 276 296	-2595066068850
SPT(16)	1264424393839108729	0 24 30 34 42 52 58 64 78 84 90 100 108 112 118 142	-2141778010648
SPT(16)	1264424650550157763	0 6 18 46 76 108 130 160 186 216 238 270 300 328 340 346	-1885066961614
SPT(16)	1264426015360064783	0 14 36 66 108 146 168 174 200 206 228 266 308 338 360 374	-520257054594
STPT(10)	1264426541362546097	0 2 30 32 42 44 54 56 84 86	5745426720
SPT(16)	1264426584020895587	0 50 66 80 96 102 110 140 186 216 224 230 246 260 276 326	48403776210
SPT(16)	1264426617974883697	0 6 12 24 42 52 64 76 180 192 204 214 232 244 250 256	82357764320
STPT(10)	1264426760375824601	0 2 6 8 48 50 90 92 96 98	224758705224
SPT(16)	1264426838418068939	0 14 32 48 78 120 162 188 204 230 272 314 344 360 378 392	302800949562