Prime p₀= 2378686998943445087 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: MarkRBright
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2378683753022698039	0 18 28 34 58 72 94 118 144 168 190 204 228 234 244 262	-3245920747048
STPT(10)	2378684427262548869	0 2 48 50 60 62 72 74 120 122	-2571680896218
STPT(10)	2378684754275583041	0 2 36 38 78 80 120 122 156 158	-2244667862046
SPT(16)	2378686057664937919	0 40 82 90 108 174 178 204 238 264 268 334 352 360 402 442	-941278507168
STPT(10)	2378686414377079307	0 2 54 56 72 74 90 92 144 146	-584566365780
SPT(16)	2378686636433038541	0 8 30 36 68 80 96 110 126 140 156 168 200 206 228 236	-362510406546
SPT(16)	2378687030803945483	0 18 30 34 70 94 100 124 144 168 174 198 234 238 250 268	31860500396
SPT(16)	2378687060403623521	0 18 70 82 100 178 222 238 252 268 312 390 408 420 472 490	61460178434
STPT(10)	2378687806986833939	0 2 42 44 60 62 78 80 120 122	808043388852
SPT(16)	2378688312080857963	0 28 58 60 90 118 130 138 148 156 168 196 226 228 258 286	1313137412876
SPT(18)	2378688910854159571	0 72 82 90 106 148 160 232 250 318 336 408 420 462 478 486 496 568	1911910714484