Prime p₀= 1126485232411233647 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(13)	1126483991991338219	0 42 72 78 120 150 180 210 240 282 288 318 360	-1240419895428
STPT(10)	1126484088522147539	0 2 18 20 30 32 42 44 60 62	-1143889086108
SPT(16)	1126484297197477619	0 14 24 42 48 78 84 90 122 128 134 164 170 188 198 212	-935213756028
STPT(10)	1126484479711485449	0 2 18 20 60 62 102 104 120 122	-752699748198
STPT(10)	1126484684067132917	0 2 72 74 102 104 132 134 204 206	-548344100730
SPT(16)	1126484972740142959	0 40 42 88 94 130 138 142 180 184 192 228 234 280 282 322	-259671090688
STPT(10)	1126485405042906191	0 2 90 92 108 110 126 128 216 218	172631672544
SPT(16)	1126486042254176959	0 18 54 60 84 88 90 108 190 208 210 214 238 244 280 298	809842943312
SPT(16)	1126486107488568913	0 10 48 66 76 108 118 126 220 228 238 270 280 298 336 346	875077335266
STPT(10)	1126486162255432241	0 2 6 8 48 50 90 92 96 98	929844198594
SPT(16)	1126486476544256153	0 8 74 78 84 96 140 144 170 174 218 230 236 240 306 314	1244133022506