Prime p₀= 1229714275079894057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1229713164876765557	0 24 80 86 114 120 140 176 204 240 260 266 294 300 356 380	-1110203128500
TPT(14)	1229713327093281557	0 2 42 44 90 92 132 134 174 176 300 302 354 356	-947986612500
SPT(16)	1229713347055314221	0 2 8 18 42 86 90 102 116 128 132 176 200 210 216 218	-928024579836
STPT(10)	1229713349839538321	0 2 6 8 18 20 30 32 36 38	-925240355736
STPT(10)	1229713693617832571	0 2 36 38 78 80 120 122 156 158	-581462061486
STPT(10)	1229714015098642439	0 2 42 44 60 62 78 80 120 122	-259981251618
STPT(10)	1229714640178764821	0 2 6 8 48 50 90 92 96 98	365098870764
SPT(16)	1229715248578894543	0 4 36 64 70 76 78 114 130 166 168 174 180 208 240 244	973499000486
SPT(16)	1229715323267881427	0 20 26 66 84 92 132 152 174 194 234 242 260 300 306 326	1048187987370
SPT(16)	1229715339830322599	0 18 38 72 170 182 198 224 228 254 270 282 380 414 434 452	1064750428542
STPT(10)	1229715361440405107	0 2 30 32 72 74 114 116 144 146	1086360511050