Prime p₀= 1233865703671008587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Dr Who Fan
db: batch=77, k=10, 2 82 2 46 2

SPT(16)	1233864914015603231	0 36 38 66 68 96 98 108 260 270 272 300 302 330 332 368	-789655405356
SPT(16)	1233864993002106307	0 12 66 72 90 94 100 112 204 216 222 226 244 250 304 316	-710668902280
STPT(10)	1233865062793215269	0 2 18 20 30 32 42 44 60 62	-640877793318
SPT(16)	1233865191568040533	0 10 66 88 166 168 186 190 234 238 256 258 336 358 414 424	-512102968054
STPT(10)	1233865330569688709	0 2 12 14 90 92 168 170 180 182	-373101319878
SPT(16)	1233865334346086731	0 16 42 60 78 100 108 132 256 280 288 310 328 346 372 388	-369324921856
STPT(10)	1233865734007600877	0 2 30 32 42 44 54 56 84 86	30336592290
SPT(16)	1233866322789915029	0 14 20 42 50 74 92 102 122 132 150 174 182 204 210 224	619118906442
SPT(16)	1233866355867237523	0 16 18 30 36 48 96 138 148 190 238 250 256 268 270 286	652196228936
SPT(16)	1233866379090604513	0 48 106 118 184 226 228 238 246 256 258 300 366 378 436 484	675419595926
STPT(10)	1233866576674171409	0 2 48 50 90 92 132 134 180 182	873003162822