Prime p₀= 813750863331720869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: matali
db: batch=73, k=10, 2 40 2 16 2

STPT(12)	813749674352276447	0 2 42 44 60 62 102 104 120 122 162 164	-1188979444422
STPT(10)	813749706664115939	0 2 12 14 90 92 168 170 180 182	-1156667604930
SPT(16)	813749825454526621	0 22 30 36 52 100 108 118 240 250 258 306 322 328 336 358	-1037877194248
STPT(10)	813750140261845481	0 2 30 32 60 62 90 92 120 122	-723069875388
SPT(16)	813750695194745053	0 4 28 40 88 144 160 208 210 258 274 330 378 390 414 418	-168136975816
STPT(10)	813750762643963757	0 2 30 32 42 44 54 56 84 86	-100687757112
SPT(16)	813750905811722213	0 14 26 80 86 96 104 126 128 150 158 168 174 228 240 254	42480001344
SPT(16)	813751042832490013	0 10 70 88 94 108 124 160 228 264 280 294 300 318 378 388	179500769144
STPT(10)	813751056397220477	0 2 30 32 42 44 54 56 84 86	193065499608
SPT(16)	813751066206839161	0 58 60 90 112 142 148 150 238 240 246 276 298 328 330 388	202875118292
SPT(16)	813751300246657457	0 54 60 72 86 122 144 146 150 152 174 210 224 236 242 296	436914936588