Prime p₀= 2233728608330556437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: JayPi
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2233727060855249777	0 6 24 32 44 86 90 96 200 206 210 252 264 272 290 296	-1547475306660
STPT(10)	2233727662630927217	0 2 42 44 72 74 102 104 144 146	-945699629220
SPT(16)	2233727752046144801	0 20 30 96 98 146 170 272 306 408 432 480 482 548 558 578	-856284411636
STPT(10)	2233727801457108347	0 2 30 32 42 44 54 56 84 86	-806873448090
STPT(10)	2233727881746299759	0 2 42 44 60 62 78 80 120 122	-726584256678
SPT(20)	2233728389713547147	0 14 32 44 66 72 80 84 110 116 150 156 182 186 194 200 222 234 252 266	-218617009290
SPT(16)	2233728679818479443	0 18 46 78 84 118 124 138 196 210 216 250 256 288 316 334	71487923006
SPT(16)	2233728971441932841	0 18 62 92 162 230 242 248 270 276 288 356 426 456 500 518	363111376404
SPT(16)	2233729207388638369	0 12 22 28 64 70 82 88 114 120 132 138 174 180 190 202	599058081932
SPT(16)	2233729459997512579	0 88 114 142 172 174 180 204 208 232 238 240 270 298 324 412	851666956142
STPT(10)	2233729613808624647	0 2 60 62 102 104 144 146 204 206	1005478068210