Prime p₀= 2003777967216006827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Chooka
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2003776906606712591	0 2 6 8 48 50 90 92 96 98	-1060609294236
SPT(16)	2003777218608691541	0 32 68 72 96 116 138 162 176 200 222 242 266 270 306 338	-748607315286
SPT(16)	2003777410620483809	0 44 104 108 120 122 134 138 164 168 180 182 194 198 258 302	-556595523018
SPT(16)	2003777503543534921	0 42 46 66 72 82 88 100 168 180 186 196 202 222 226 268	-463672471906
SPT(16)	2003777530378342933	0 48 58 60 84 100 208 210 244 246 354 370 394 396 406 454	-436837663894
STPT(10)	2003777716796498681	0 2 96 98 108 110 120 122 216 218	-250419508146
TPT(14)	2003778426852704657	0 2 42 44 150 152 210 212 234 236 264 266 330 332	459636697830
STPT(10)	2003778646353369251	0 2 36 38 78 80 120 122 156 158	679137362424
SPT(16)	2003778754814747539	0 4 82 84 132 154 172 180 292 300 318 340 388 390 468 472	787598740712
STPT(10)	2003778887976473339	0 2 42 44 90 92 138 140 180 182	920760466512
SPT(16)	2003779161507033941	0 38 50 60 72 78 108 120 128 140 170 176 188 198 210 248	1194291027114