Prime p₀= 1022678578213101767 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: stoneageman
db: batch=76, k=10, 2 40 2 28 2

STPT(10)	1022677508906947709	0 2 12 14 30 32 48 50 60 62	-1069306154058
SPT(16)	1022677595164902197	0 2 20 26 50 72 92 174 212 294 314 336 360 366 384 386	-983048199570
TPT(14)	1022677696972921721	0 2 18 20 30 32 138 140 156 158 270 272 378 380	-881240180046
SPT(16)	1022678031747251171	0 6 12 26 42 56 62 78 80 96 102 116 132 146 152 158	-546465850596
STPT(10)	1022678125417787099	0 2 18 20 30 32 42 44 60 62	-452795314668
STPT(10)	1022678327886105767	0 2 30 32 60 62 90 92 120 122	-250326996000
SPT(16)	1022678712837750041	0 62 90 110 162 168 188 198 230 240 260 266 318 338 366 428	134624648274
STPT(10)	1022679476605466159	0 2 18 20 30 32 42 44 60 62	898392364392
STPT(10)	1022679525044166329	0 2 18 20 30 32 42 44 60 62	946831064562
SPT(16)	1022679586860945589	0 28 52 78 90 94 120 142 210 232 258 262 274 300 324 352	1008647843822
SPT(16)	1022680143246016303	0 34 46 60 70 100 124 198 226 300 324 354 364 378 390 424	1565032914536