Prime p₀= 2233729613808624647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Orange Kid
db: batch=81, k=10, 2 58 2 40 2

SPT(20)	2233728389713547147	0 14 32 44 66 72 80 84 110 116 150 156 182 186 194 200 222 234 252 266	-1224095077500
STPT(10)	2233728608330556437	0 2 60 62 72 74 84 86 144 146	-1005478068210
SPT(16)	2233728679818479443	0 18 46 78 84 118 124 138 196 210 216 250 256 288 316 334	-933990145204
SPT(16)	2233728971441932841	0 18 62 92 162 230 242 248 270 276 288 356 426 456 500 518	-642366691806
SPT(16)	2233729207388638369	0 12 22 28 64 70 82 88 114 120 132 138 174 180 190 202	-406419986278
SPT(16)	2233729459997512579	0 88 114 142 172 174 180 204 208 232 238 240 270 298 324 412	-153811112068
SPT(16)	2233729667592195161	0 12 78 90 102 110 116 138 140 162 168 176 188 200 266 278	53783570514
STPT(10)	2233729674815138567	0 2 12 14 72 74 132 134 144 146	61006513920
STPT(12)	2233730143314419219	0 2 30 32 72 74 150 152 192 194 222 224	529505794572
TPT(14)	2233730534508984419	0 2 72 74 198 200 228 230 252 254 360 362 390 392	920700359772
SPT(16)	2233730658221216569	0 10 18 24 52 64 78 114 148 184 198 210 238 244 252 262	1044412591922