Prime p₀= 3403400666558961137 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: Rainer Emrich
db: batch=83, k=10, 2 22 2 16 2

TPT(16)	3403399849428890459	0 2 30 32 42 44 78 80 150 152 168 170 288 290 432 434	-817130070678
SPT(16)	3403400095755104233	0 6 66 70 84 88 94 96 118 120 126 130 144 148 208 214	-570803856904
SPT(16)	3403400305468291327	0 12 24 66 94 154 180 210 316 346 372 432 460 502 514 526	-361090669810
STPT(10)	3403400546952862361	0 2 6 8 48 50 90 92 96 98	-119606098776
SPT(16)	3403400574424945231	0 12 16 46 76 112 118 132 166 180 186 222 252 282 286 298	-92134015906
SPT(16)	3403400609835334831	0 42 46 88 126 132 136 156 172 192 196 202 240 282 286 328	-56723626306
STPT(10)	3403400699023931729	0 2 12 14 30 32 48 50 60 62	32464970592
TPT(14)	3403401209095123931	0 2 30 32 36 38 78 80 186 188 198 200 246 248	542536162794
SPT(16)	3403401375646707551	0 2 8 36 48 56 72 86 102 116 132 140 152 180 186 188	709087746414
STPT(10)	3403401523260962981	0 2 6 8 18 20 30 32 36 38	856702001844
SPT(16)	3403401574745184049	0 58 60 70 78 100 144 234 274 364 408 430 438 448 450 508	908186222912