Prime p₀= 1341856627717733591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1341854615128300531	0 16 82 96 100 112 118 126 142 150 156 168 172 186 252 268	-2012589433060
SPT(16)	1341854619046195139	0 14 54 92 132 138 162 188 204 230 254 260 300 338 378 392	-2008671538452
SPT(16)	1341854753308250861	0 18 50 78 86 96 98 108 128 138 140 150 158 186 218 236	-1874409482730
SPT(20)	1341854878227739871	0 32 62 108 140 162 176 186 198 216 242 260 272 282 296 318 350 396 426 458	-1749489993720
STPT(10)	1341855446676909629	0 2 12 14 90 92 168 170 180 182	-1181040823962
STPT(10)	1341856110779911187	0 2 24 26 42 44 60 62 84 86	-516937822404
STPT(10)	1341856752754707767	0 2 30 32 42 44 54 56 84 86	125036974176
STPT(10)	1341856973004598241	0 2 36 38 78 80 120 122 156 158	345286864650
SPT(16)	1341857275392303107	0 6 20 44 96 120 132 216 260 344 356 380 432 456 470 476	647674569516
SPT(16)	1341857319385648759	0 24 42 72 102 124 144 150 172 178 198 220 250 280 298 322	691667915168
TPT(14)	1341858219857709887	0 2 54 56 90 92 114 116 180 182 222 224 282 284	1592139976296