Prime p₀= 814966722177190337 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: scrap
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	814965381877926443	0 14 50 128 146 168 204 206 258 260 296 318 336 414 450 464	-1340299263894
STPT(10)	814965472236539669	0 2 12 14 90 92 168 170 180 182	-1249940650668
TPT(14)	814966390575732677	0 2 60 62 102 104 162 164 240 242 270 272 300 302	-331601457660
SPT(16)	814966396593620191	0 22 30 42 78 130 166 180 298 312 348 400 436 448 456 478	-325583570146
STPT(10)	814966482592943279	0 2 18 20 30 32 42 44 60 62	-239584247058
TPT(14)	814966545223316609	0 2 48 50 90 92 102 104 132 134 138 140 300 302	-176953873728
SPT(16)	814967176730841833	0 20 44 48 74 86 96 98 156 158 168 180 206 210 234 254	454553651496
SPT(16)	814967198875452677	0 32 42 126 152 164 182 192 224 234 252 264 290 374 384 416	476698262340
STPT(10)	814967558958535601	0 2 90 92 108 110 126 128 216 218	836781345264
SPT(16)	814968395253492869	0 12 42 78 98 110 140 162 188 210 240 252 272 308 338 350	1673076302532
STPT(10)	814968444756511217	0 2 12 14 42 44 72 74 84 86	1722579320880