Prime p₀= 1049047909706975999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: stoneageman
db: batch=76, k=10, 2 40 2 16 2

STPT(10)	1049046601424404859	0 2 12 14 90 92 168 170 180 182	-1308282571140
SPT(16)	1049046885434212523	0 20 36 56 68 78 80 96 188 204 206 216 228 248 264 284	-1024272763476
SPT(16)	1049046890188185883	0 36 54 66 106 114 148 166 168 186 220 228 268 280 298 334	-1019518790116
SPT(16)	1049047040985728207	0 2 20 26 56 114 140 156 230 246 272 330 360 366 384 386	-868721247792
TPT(14)	1049047484418624107	0 2 60 62 72 74 132 134 180 182 300 302 390 392	-425288351892
SPT(16)	1049047599923532487	0 6 24 42 54 64 120 132 154 166 222 232 244 262 280 286	-309783443512
STPT(10)	1049048154170041889	0 2 42 44 90 92 138 140 180 182	244463065890
TPT(14)	1049048308049581199	0 2 42 44 138 140 150 152 192 194 252 254 258 260	398342605200
SPT(16)	1049048771666020687	0 22 24 34 42 46 84 94 102 112 150 154 162 172 174 196	861959044688
TPT(14)	1049048861721630179	0 2 18 20 60 62 168 170 180 182 282 284 300 302	952014654180
STPT(10)	1049049098497016129	0 2 42 44 60 62 78 80 120 122	1188790040130