Prime p₀= 775720897171003037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: [SG]FX
db: batch=73, k=10, 2 58 2 40 2

SPT(16)	775720261766172059	0 24 84 108 150 164 198 254 264 320 354 368 410 434 494 518	-635404830978
STPT(10)	775720487286393191	0 2 6 8 48 50 90 92 96 98	-409884609846
STPT(10)	775720506411951437	0 2 30 32 42 44 54 56 84 86	-390759051600
STPT(10)	775720603603460069	0 2 78 80 120 122 162 164 240 242	-293567542968
STPT(10)	775720754154280601	0 2 6 8 18 20 30 32 36 38	-143016722436
STPT(10)	775720773201440189	0 2 48 50 90 92 132 134 180 182	-123969562848
SPT(16)	775720951267716439	0 82 88 100 108 130 138 154 198 214 222 244 252 264 270 352	54096713402
SPT(16)	775721231415409999	0 12 48 90 118 124 144 168 184 208 228 234 262 304 340 352	334244406962
STPT(10)	775721720737428989	0 2 18 20 30 32 42 44 60 62	823566425952
TPT(14)	775721794775650937	0 2 30 32 54 56 90 92 144 146 210 212 222 224	897604647900
SPT(16)	775722564460677433	0 28 36 46 64 84 88 130 144 186 190 210 228 238 246 274	1667289674396