Prime p₀= 3008852184962497631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 76 2 76 2 88 2 (?)
a_n: 0 2 90 92 168 170 246 248 336 338
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: 338
Found by: Orange Kid
db: batch=82, k=10, 2 88 2 76 2

SPT(16)	3008849348869407599	0 20 98 138 152 162 174 188 204 218 230 240 254 294 372 392	-2836093090032
STPT(10)	3008850351569080589	0 2 18 20 30 32 42 44 60 62	-1833393417042
STPT(10)	3008850984405508367	0 2 30 32 72 74 114 116 144 146	-1200556989264
SPT(16)	3008851341059804381	0 26 72 108 110 176 206 212 246 252 282 348 350 386 432 458	-843902693250
SPT(16)	3008851528557009557	0 6 36 104 140 156 200 204 296 300 344 360 396 464 494 500	-656405488074
SPT(16)	3008851611139468481	0 8 50 92 98 116 122 150 158 186 192 210 216 258 300 308	-573823029150
SPT(16)	3008852491739718461	0 18 48 56 66 78 120 122 186 188 230 242 252 260 290 308	306777220830
STPT(10)	3008852695748431199	0 2 48 50 90 92 132 134 180 182	510785933568
STPT(10)	3008852754400660157	0 2 12 14 42 44 72 74 84 86	569438162526
SPT(16)	3008853024076110649	0 34 48 78 120 124 138 154 174 190 204 208 250 280 294 328	839113613018
STPT(10)	3008853436223729387	0 2 42 44 72 74 102 104 144 146	1251261231756