Prime p₀= 1123336429936645667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1123335693017973101	0 2 6 8 18 20 30 32 36 38	-736918672566
SPT(16)	1123335722000832019	0 52 64 72 108 120 124 144 148 168 172 184 220 228 240 292	-707935813648
SPT(16)	1123335732826767209	0 32 54 68 98 102 120 140 162 182 200 204 234 248 270 302	-697109878458
STPT(10)	1123335763667217941	0 2 36 38 78 80 120 122 156 158	-666269427726
STPT(10)	1123335794273555711	0 2 36 38 78 80 120 122 156 158	-635663089956
STPT(12)	1123336248162739487	0 2 42 44 90 92 114 116 162 164 204 206	-181773906180
SPT(16)	1123336789336366043	0 26 60 66 138 158 180 200 216 236 258 278 350 356 390 416	359399720376
SPT(16)	1123337109189623957	0 32 62 72 80 102 150 234 290 374 422 444 452 462 492 524	679252978290
STPT(10)	1123337111158415339	0 2 42 44 90 92 138 140 180 182	681221769672
SPT(16)	1123337167373858351	0 48 122 186 222 230 248 252 326 330 348 356 392 456 530 578	737437212684
SPT(16)	1123337295249089029	0 30 58 70 84 114 148 154 168 174 208 238 252 264 292 322	865312443362