Prime p₀= 966750010701897767 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

SPT(16)	966748434561768997	0 6 10 36 66 84 102 106 150 154 172 190 220 246 250 256	-1576140128770
SPT(16)	966748598021901941	0 2 32 68 86 98 116 120 158 162 180 192 210 246 276 278	-1412679995826
SPT(16)	966749064883349029	0 42 52 88 112 118 154 198 214 258 294 300 324 360 370 412	-945818548738
STPT(10)	966749894609877797	0 2 42 44 72 74 102 104 144 146	-116092019970
STPT(10)	966749907788104541	0 2 6 8 48 50 90 92 96 98	-102913793226
STPT(10)	966750005646659327	0 2 30 32 60 62 90 92 120 122	-5055238440
SPT(16)	966750144701442709	0 10 48 58 72 88 90 130 180 220 222 238 252 262 300 310	133999544942
STPT(10)	966750897012695957	0 2 30 32 42 44 54 56 84 86	886310798190
SPT(16)	966750926779390523	0 18 36 38 44 60 66 80 114 128 134 150 156 158 176 194	916077492756
SPT(16)	966751420837960999	0 28 48 90 94 142 154 198 244 288 300 348 352 394 414 442	1410136063232
STPT(10)	966751675619990147	0 2 24 26 42 44 60 62 84 86	1664918092380