Prime p₀= 1124852535242885789 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

SPT(16)	1124852074593367969	0 4 10 34 72 90 120 150 154 184 214 232 270 294 300 304	-460649517820
TPT(14)	1124852250838546331	0 2 48 50 78 80 138 140 168 170 288 290 336 338	-284404339458
STPT(10)	1124852259331237709	0 2 18 20 30 32 42 44 60 62	-275911648080
STPT(10)	1124852269355316347	0 2 24 26 42 44 60 62 84 86	-265887569442
SPT(16)	1124852366801097859	0 4 30 58 70 78 114 130 162 178 214 222 234 262 288 292	-168441787930
STPT(10)	1124852403656154959	0 2 30 32 60 62 90 92 120 122	-131586730830
SPT(16)	1124852860167704537	0 2 56 72 74 80 90 102 104 116 126 132 134 150 204 206	324924818748
STPT(10)	1124852872400445647	0 2 30 32 42 44 54 56 84 86	337157559858
SPT(16)	1124852944355840627	0 32 42 72 74 116 120 146 240 266 270 312 314 344 354 386	409112954838
STPT(10)	1124853599103342107	0 2 24 26 42 44 60 62 84 86	1063860456318
SPT(16)	1124854013769391417	0 46 124 150 156 172 180 186 220 226 234 250 256 282 360 406	1478526505628