Prime p₀= 1147316883335529131 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: crashtech
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1147315944870325067	0 26 66 96 104 116 134 144 182 192 210 222 230 260 300 326	-938465204064
STPT(10)	1147316016067155437	0 2 24 26 42 44 60 62 84 86	-867268373694
STPT(10)	1147316247089674547	0 2 30 32 72 74 114 116 144 146	-636245854584
STPT(10)	1147316250755108261	0 2 36 38 78 80 120 122 156 158	-632580420870
SPT(16)	1147316311965776501	0 2 8 90 110 152 212 222 248 258 318 360 380 462 468 470	-571369752630
STPT(10)	1147316787103445591	0 2 6 8 48 50 90 92 96 98	-96232083540
SPT(16)	1147317997229663449	0 10 28 60 78 84 112 138 154 180 208 214 232 264 282 292	1113894134318
SPT(16)	1147318474153980871	0 18 36 40 78 88 196 208 360 372 480 490 528 532 550 568	1590818451740
STPT(10)	1147318809054658949	0 2 18 20 60 62 102 104 120 122	1925719129818
STPT(10)	1147318916354436071	0 2 36 38 78 80 120 122 156 158	2033018906940
SPT(16)	1147319112640638523	0 18 24 36 66 70 94 106 108 120 144 148 178 190 196 214	2229305109392