Prime p₀= 1016799214363283171 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: stoneageman
db: batch=76, k=10, 2 4 2 10 2

STPT(10)	1016798172617678039	0 2 78 80 120 122 162 164 240 242	-1041745605132
SPT(16)	1016798368385955293	0 24 54 146 150 158 164 168 206 210 216 224 228 320 350 374	-845977327878
STPT(10)	1016798587598605709	0 2 18 20 30 32 42 44 60 62	-626764677462
SPT(16)	1016798812539152171	0 8 12 86 90 126 152 158 240 246 272 308 312 386 390 398	-401824131000
SPT(16)	1016798820054261949	0 4 34 64 118 124 130 144 148 162 168 174 228 258 288 292	-394309021222
STPT(10)	1016798976441221717	0 2 30 32 102 104 174 176 204 206	-237922061454
SPT(16)	1016799276027298007	0 26 72 144 150 210 236 252 254 270 296 356 362 434 480 506	61664014836
SPT(16)	1016799356142679601	0 20 56 62 72 98 122 156 182 216 240 266 276 282 318 338	141779396430
SPT(16)	1016799549479165339	0 2 18 44 138 158 170 200 222 252 264 284 378 404 420 422	335115882168
SPT(16)	1016799664173463321	0 30 78 88 112 142 156 162 166 172 186 216 240 250 298 328	449810180150
STPT(10)	1016800026566495837	0 2 30 32 42 44 54 56 84 86	812203212666