Prime p₀= 2166622453255767719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Penguin
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2166621763234209937	0 52 54 82 84 130 132 172 174 214 216 262 264 292 294 346	-690021557782
STPT(14)	2166621763234209989	0 2 30 32 78 80 120 122 162 164 210 212 240 242	-690021557730
TPT(14)	2166621763234209989	0 2 30 32 78 80 120 122 162 164 210 212 240 242	-690021557730
STPT(10)	2166622051012870271	0 2 6 8 18 20 30 32 36 38	-402242897448
STPT(10)	2166622111849338497	0 2 54 56 72 74 90 92 144 146	-341406429222
STPT(10)	2166622170136478321	0 2 36 38 78 80 120 122 156 158	-283119289398
STPT(10)	2166622624355325749	0 2 18 20 30 32 42 44 60 62	171099558030
STPT(10)	2166623012798641097	0 2 30 32 42 44 54 56 84 86	559542873378
STPT(10)	2166623105240873309	0 2 18 20 30 32 42 44 60 62	651985105590
STPT(10)	2166623256471956717	0 2 30 32 42 44 54 56 84 86	803216188998
SPT(16)	2166623615986870739	0 24 44 54 80 132 140 174 188 222 230 282 308 318 338 362	1162731103020