Prime p₀= 3086370723619113737 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: PhilTheNet
db: batch=83, k=10, 2 40 2 28 2

SPT(16)	3086368167352690237	0 12 90 114 142 154 162 196 210 244 252 264 292 316 394 406	-2556266423500
TPT(14)	3086368558782303929	0 2 30 32 78 80 138 140 168 170 180 182 210 212	-2164836809808
STPT(10)	3086368846716098789	0 2 18 20 30 32 42 44 60 62	-1876903014948
SPT(16)	3086368913971694257	0 46 82 90 102 132 156 196 216 256 280 310 322 330 366 412	-1809647419480
STPT(10)	3086370151727983457	0 2 30 32 42 44 54 56 84 86	-571891130280
SPT(16)	3086370383230281911	0 8 18 26 60 92 98 128 210 240 246 278 312 320 330 338	-340388831826
SPT(16)	3086370974863948637	0 6 12 120 140 224 246 266 270 290 312 396 416 524 530 536	251244834900
STPT(10)	3086371342766988797	0 2 54 56 132 134 210 212 264 266	619147875060
SPT(16)	3086371609244531609	0 50 144 162 182 200 210 224 240 254 264 282 302 320 414 464	885625417872
STPT(10)	3086371986111153539	0 2 48 50 60 62 72 74 120 122	1262492039802
STPT(10)	3086372004982599041	0 2 36 38 78 80 120 122 156 158	1281363485304