Prime p₀= 1124919378590910569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Theadalus
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1124917903866753757	0 34 40 52 102 106 112 124 132 144 150 154 204 216 222 256	-1474724156812
STPT(10)	1124917986041102081	0 2 6 8 48 50 90 92 96 98	-1392549808488
STPT(10)	1124918011164298331	0 2 30 32 78 80 126 128 156 158	-1367426612238
SPT(16)	1124918012018939759	0 8 62 110 144 188 218 222 230 234 264 308 342 390 444 452	-1366571970810
STPT(10)	1124918735220327347	0 2 24 26 42 44 60 62 84 86	-643370583222
STPT(10)	1124919246145203557	0 2 42 44 72 74 102 104 144 146	-132445707012
STPT(10)	1124919660423391517	0 2 24 26 42 44 60 62 84 86	281832480948
SPT(16)	1124919916692044411	0 8 26 42 50 68 86 122 126 162 180 198 206 222 240 248	538101133842
SPT(16)	1124920252615721663	0 8 44 78 104 126 140 206 258 324 338 360 386 420 456 464	874024811094
SPT(16)	1124920575729838141	0 60 70 78 88 90 100 148 198 246 256 258 268 276 286 346	1197138927572
STPT(10)	1124920666434412817	0 2 54 56 72 74 90 92 144 146	1287843502248