Prime p₀= 3010622123231502389 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=10, 2 76 2 40 2

STPT(10)	3010620850272036731	0 2 36 38 78 80 120 122 156 158	-1272959465658
STPT(12)	3010620972637023959	0 2 12 14 42 44 48 50 78 80 90 92	-1150594478430
SPT(16)	3010621299090412411	0 22 48 60 82 130 148 186 232 270 288 336 358 370 396 418	-824141089978
SPT(16)	3010621500893937023	0 8 14 56 78 86 104 120 134 150 168 176 198 240 246 254	-622337565366
STPT(10)	3010621626576871001	0 2 36 38 78 80 120 122 156 158	-496654631388
SPT(16)	3010622101746470759	0 14 44 60 62 80 104 150 164 210 234 252 254 270 300 314	-21485031630
STPT(10)	3010622237664857339	0 2 18 20 30 32 42 44 60 62	114433354950
STPT(10)	3010623367460991179	0 2 18 20 60 62 102 104 120 122	1244229488790
SPT(16)	3010623508411192987	0 46 54 60 66 102 124 126 130 132 154 190 196 202 210 256	1385179690598
STPT(10)	3010623698213450489	0 2 42 44 60 62 78 80 120 122	1574981948100
SPT(16)	3010624030926137741	0 26 30 38 42 56 96 98 120 122 162 176 180 188 192 218	1907694635352