Prime p₀= 2043414029964002777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Landjunge
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2043413155834947319	0 34 54 70 82 90 100 150 184 234 244 252 264 280 300 334	-874129055458
STPT(10)	2043413317119478037	0 2 24 26 42 44 60 62 84 86	-712844524740
STPT(10)	2043413529958325267	0 2 30 32 120 122 210 212 240 242	-500005677510
TPT(14)	2043413811507384221	0 2 36 38 78 80 90 92 138 140 180 182 300 302	-218456618556
SPT(16)	2043413895256663931	0 56 60 66 68 86 108 126 152 170 192 210 212 218 222 278	-134707338846
SPT(16)	2043413940501288239	0 2 14 42 62 80 122 140 222 240 282 300 320 348 360 362	-89462714538
SPT(16)	2043414167536360183	0 4 6 28 36 54 70 78 136 144 160 178 186 208 210 214	137572357406
STPT(10)	2043414203326721051	0 2 30 32 78 80 126 128 156 158	173362718274
STPT(10)	2043414757061523407	0 2 42 44 72 74 102 104 144 146	727097520630
STPT(10)	2043414817927980779	0 2 42 44 60 62 78 80 120 122	787963978002
SPT(16)	2043414843337471657	0 16 36 70 102 120 126 132 154 160 166 184 216 250 270 286	813373468880