Prime p₀= 1286477827694487677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Cruncher Pete
db: batch=77, k=10, 2 10 2 58 2

STPT(10)	1286476027692808619	0 2 42 44 60 62 78 80 120 122	-1800001679058
STPT(10)	1286476079146334801	0 2 6 8 48 50 90 92 96 98	-1748548152876
SPT(16)	1286477164399707821	0 6 38 48 140 150 188 210 248 270 308 318 410 420 452 458	-663294779856
SPT(16)	1286477331395863253	0 20 26 38 78 140 168 176 180 188 216 278 318 330 336 356	-496298624424
STPT(10)	1286477378706012551	0 2 36 38 78 80 120 122 156 158	-448988475126
STPT(10)	1286477466910713941	0 2 78 80 108 110 138 140 216 218	-360783773736
SPT(16)	1286477857087204181	0 36 38 72 78 96 108 122 156 170 182 200 206 240 242 278	29392716504
SPT(16)	1286477940044374907	0 14 32 90 104 114 144 170 186 212 242 252 266 324 342 356	112349887230
SPT(16)	1286478308833363649	0 14 24 44 54 90 92 150 194 252 254 290 300 320 330 344	481138875972
SPT(16)	1286478319156380223	0 16 18 34 48 130 156 196 198 238 264 346 360 376 378 394	491461892546
STPT(10)	1286478405332230109	0 2 18 20 30 32 42 44 60 62	577637742432