Prime p₀= 2011667001433946957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2011665834172907083	0 6 30 36 54 78 90 108 166 184 196 220 238 244 268 274	-1167261039874
SPT(16)	2011665974852670481	0 36 70 76 192 210 220 252 280 312 322 340 456 462 496 532	-1026581276476
SPT(16)	2011666298845405919	0 12 48 90 104 122 132 134 138 140 150 168 182 224 260 272	-702588541038
TPT(14)	2011666573208967989	0 2 12 14 150 152 198 200 222 224 228 230 240 242	-428224978968
STPT(10)	2011666631037613727	0 2 90 92 102 104 114 116 204 206	-370396333230
SPT(16)	2011666985986100647	0 72 84 94 96 124 172 196 210 234 282 310 312 322 334 406	-15447846310
STPT(12)	2011667249265388931	0 2 126 128 138 140 228 230 240 242 366 368	247831441974
STPT(10)	2011667510189062457	0 2 30 32 42 44 54 56 84 86	508755115500
STPT(10)	2011667864263428191	0 2 6 8 18 20 30 32 36 38	862829481234
SPT(16)	2011667932919402269	0 18 24 84 88 124 144 150 172 178 198 234 238 298 304 322	931485455312
SPT(16)	2011667962659508537	0 24 40 72 90 142 150 154 180 184 192 244 262 294 310 334	961225561580