Prime p₀= 1124724799974126719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: crashtech
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1124723200459410647	0 2 30 32 42 44 54 56 84 86	-1599514716072
TPT(16)	1124723234827582727	0 2 54 56 84 86 150 152 162 164 252 254 330 332 432 434	-1565146543992
SPT(16)	1124723331671861683	0 90 94 100 114 126 136 160 210 234 244 256 270 276 280 370	-1468302265036
SPT(16)	1124723344133616077	0 6 12 32 56 90 92 110 126 144 146 180 204 224 230 236	-1455840510642
SPT(16)	1124723727241517779	0 10 12 18 24 34 48 60 112 124 138 148 154 160 162 172	-1072732608940
STPT(10)	1124724216688917599	0 2 18 20 30 32 42 44 60 62	-583285209120
SPT(16)	1124724853106723269	0 18 84 100 168 172 178 232 240 294 300 304 372 388 454 472	53132596550
SPT(16)	1124725687283715931	0 10 22 36 58 78 82 96 112 126 130 150 172 186 198 208	887309589212
SPT(16)	1124725831202335249	0 10 42 82 130 138 144 154 198 208 214 222 270 310 342 352	1031228208530
SPT(16)	1124726041469992187	0 2 30 134 144 186 204 240 296 332 350 392 402 506 534 536	1241495865468
STPT(10)	1124726317355479409	0 2 18 20 30 32 42 44 60 62	1517381352690