Prime p₀= 800828841116893619 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: schoussi
db: batch=73, k=10, 2 28 2 28 2

SPT(16)	800826913778488733	0 6 36 44 96 110 134 164 180 210 234 248 300 308 338 344	-1927338404886
TPT(14)	800827269087367757	0 2 42 44 102 104 144 146 252 254 264 266 300 302	-1572029525862
SPT(16)	800827511488236263	0 6 36 48 50 84 98 110 114 126 140 174 176 188 218 224	-1329628657356
TPT(14)	800827603607433221	0 2 150 152 156 158 240 242 276 278 288 290 306 308	-1237509460398
SPT(16)	800828563349073761	0 6 38 50 66 78 102 140 168 206 230 242 258 270 302 308	-277767819858
STPT(10)	800828756972363261	0 2 6 8 18 20 30 32 36 38	-84144530358
STPT(10)	800828870126965607	0 2 54 56 72 74 90 92 144 146	29010071988
SPT(16)	800828891509068119	0 12 18 60 80 120 122 158 294 330 332 372 392 434 440 452	50392174500
SPT(16)	800829577657546253	0 18 60 78 84 90 108 134 174 200 218 224 230 248 290 308	736540652634
STPT(10)	800829644545158257	0 2 30 32 42 44 54 56 84 86	803428264638
SPT(16)	800829691861213309	0 18 42 78 102 120 142 144 148 150 172 190 214 250 274 292	850744319690