Prime p₀= 2031127728624370469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Time_Traveler
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2031126522971319001	0 40 60 76 82 96 132 138 160 166 202 216 222 238 258 298	-1205653051468
SPT(16)	2031126718914372329	0 12 20 32 48 84 92 108 134 150 158 194 210 222 230 242	-1009709998140
SPT(16)	2031126737322897521	0 6 32 38 90 98 140 158 180 198 240 248 300 306 332 338	-991301472948
STPT(10)	2031127097669711939	0 2 18 20 30 32 42 44 60 62	-630954658530
STPT(10)	2031127345423135871	0 2 6 8 18 20 30 32 36 38	-383201234598
SPT(16)	2031127484732345563	0 18 36 46 90 130 166 168 208 210 246 286 330 340 358 376	-243892024906
SPT(16)	2031127732709691137	0 20 60 84 96 126 134 146 174 186 194 224 236 260 300 320	4085320668
STPT(10)	2031128131791977501	0 2 6 8 48 50 90 92 96 98	403167607032
STPT(10)	2031128391599662637	0 2 60 62 72 74 84 86 144 146	662975292168
STPT(10)	2031128523495643487	0 2 24 26 42 44 60 62 84 86	794871273018
STPT(10)	2031128585720584289	0 2 18 20 60 62 102 104 120 122	857096213820