Prime p₀= 1412096259454048757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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=78, k=10, 2 28 2 10 2

STPT(10)	1412094903986169581	0 2 6 8 48 50 90 92 96 98	-1355467879176
SPT(16)	1412095323781479971	0 6 12 72 86 90 110 116 126 132 152 156 170 230 236 242	-935672568786
SPT(16)	1412095515624273919	0 64 70 90 130 148 214 234 274 294 360 378 418 438 444 508	-743829774838
STPT(10)	1412096047972651799	0 2 18 20 30 32 42 44 60 62	-211481396958
STPT(10)	1412096056789801217	0 2 42 44 102 104 162 164 204 206	-202664247540
SPT(16)	1412096134505758853	0 20 30 48 56 78 86 128 138 180 188 210 218 236 246 266	-124948289904
STPT(10)	1412096898669769967	0 2 54 56 72 74 90 92 144 146	639215721210
STPT(10)	1412096980119458327	0 2 90 92 102 104 114 116 204 206	720665409570
SPT(16)	1412096982425842837	0 4 22 24 34 46 60 102 154 196 210 222 232 234 252 256	722971794080
SPT(16)	1412097160139125819	0 24 28 30 34 78 112 130 132 150 184 228 232 234 238 262	900685077062
STPT(10)	1412097199671980147	0 2 30 32 42 44 54 56 84 86	940217931390