Prime p₀= 1049071056689900117 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1049070727577185589	0 2 48 50 90 92 132 134 180 182	-329112714528
SPT(18)	1049070758136912239	0 14 32 72 84 102 110 114 158 204 248 252 260 278 290 330 348 362	-298552987878
STPT(10)	1049070814897582157	0 2 72 74 102 104 132 134 204 206	-241792317960
STPT(10)	1049070857106982679	0 2 12 14 30 32 48 50 60 62	-199582917438
SPT(16)	1049070927314966989	0 30 34 54 112 138 144 154 198 208 214 240 298 318 322 352	-129374933128
STPT(10)	1049070959020616471	0 2 36 38 78 80 120 122 156 158	-97669283646
SPT(16)	1049071225505534479	0 24 34 40 100 118 178 180 238 240 300 318 378 384 394 418	168815634362
SPT(16)	1049071262895506089	0 12 28 40 52 100 108 114 178 184 192 240 252 264 280 292	206205605972
STPT(10)	1049071426846113941	0 2 6 8 48 50 90 92 96 98	370156213824
SPT(16)	1049071962450144943	0 46 78 84 90 126 136 148 156 168 178 214 220 226 258 304	905760244826
SPT(16)	1049072112372357043	0 6 18 40 60 78 88 90 124 126 136 154 174 196 208 214	1055682456926