Prime p₀= 802786260216093017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Frank [NT]
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	802785440115147583	0 34 58 66 94 96 118 124 210 216 238 240 268 276 300 334	-820100945434
SPT(16)	802785505730020751	0 72 80 86 102 108 110 122 186 198 200 206 222 228 236 308	-754486072266
SPT(16)	802785696886986467	0 2 6 26 72 102 156 162 194 200 254 284 330 350 354 356	-563329106550
STPT(10)	802785756109086707	0 2 12 14 42 44 72 74 84 86	-504107006310
SPT(16)	802786006947961999	0 22 30 54 58 72 112 118 204 210 250 264 268 292 300 322	-253268131018
SPT(16)	802786239415357591	0 6 72 76 108 190 232 316 372 456 498 580 612 616 682 688	-20800735426
SPT(16)	802786411051566793	0 18 64 66 108 118 154 178 186 210 246 256 298 300 346 364	150835473776
STPT(10)	802786797123809357	0 2 30 32 72 74 114 116 144 146	536907716340
SPT(13)	802786946434692491	0 18 48 90 96 126 138 150 180 186 228 258 276	686218599474
STPT(10)	802787042954805407	0 2 42 44 72 74 102 104 144 146	782738712390
SPT(16)	802787282373266513	0 26 74 114 126 168 218 224 240 246 296 338 350 390 438 464	1022157173496