Prime p₀= 2098729072849527647 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)	2098727889495492547	0 10 24 84 94 102 106 234 292 420 424 432 442 502 516 526	-1183354035100
STPT(10)	2098728073287954077	0 2 30 32 72 74 114 116 144 146	-999561573570
SPT(16)	2098728483513490183	0 28 70 84 94 106 108 120 124 136 138 150 160 174 216 244	-589336037464
SPT(16)	2098728898097391281	0 36 42 78 122 126 128 138 140 150 152 156 200 236 242 278	-174752136366
STPT(10)	2098728998604485447	0 2 12 14 72 74 132 134 144 146	-74245042200
TPT(14)	2098729036275817739	0 2 48 50 78 80 180 182 222 224 258 260 288 290	-36573709908
STPT(10)	2098729372234404821	0 2 6 8 18 20 30 32 36 38	299384877174
STPT(10)	2098729472546119739	0 2 18 20 30 32 42 44 60 62	399696592092
SPT(16)	2098730013432157513	0 18 58 64 66 84 88 100 114 126 130 148 150 156 196 214	940582629866
SPT(16)	2098730260750286269	0 30 60 72 82 172 208 228 262 282 318 408 418 430 460 490	1187900758622
STPT(10)	2098730505008212247	0 2 30 32 42 44 54 56 84 86	1432158684600