Prime p₀= 812521257446641007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG]FX
db: batch=73, k=10, 2 40 2 28 2

STPT(10)	812520300126403367	0 2 30 32 102 104 174 176 204 206	-957320237640
STPT(10)	812520308838095327	0 2 30 32 42 44 54 56 84 86	-948608545680
STPT(10)	812520349154369417	0 2 42 44 72 74 102 104 144 146	-908292271590
TPT(14)	812520458220843221	0 2 48 50 90 92 120 122 126 128 150 152 246 248	-799225797786
STPT(10)	812520490174818167	0 2 30 32 42 44 54 56 84 86	-767271822840
SPT(16)	812520825546542881	0 16 46 52 70 82 88 108 130 150 156 168 186 192 222 238	-431900098126
TPT(14)	812521350053744141	0 2 96 98 126 128 186 188 270 272 306 308 360 362	92607103134
TPT(14)	812521940224984601	0 2 6 8 96 98 108 110 126 128 138 140 216 218	682778343594
SPT(16)	812521978999678021	0 48 70 76 78 96 100 162 166 228 232 250 252 258 280 328	721553037014
STPT(10)	812522045026016861	0 2 6 8 48 50 90 92 96 98	787579375854
STPT(10)	812522233510772801	0 2 30 32 78 80 126 128 156 158	976064131794