Prime p₀= 2123553846793158737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Chooka
db: batch=80, k=10, 2 58 2 10 2

STPT(10)	2123551067280519629	0 2 18 20 30 32 42 44 60 62	-2779512639108
STPT(10)	2123551340159449199	0 2 18 20 30 32 42 44 60 62	-2506633709538
SPT(16)	2123552104055860571	0 2 30 32 42 78 80 92 108 120 122 158 168 170 198 200	-1742737298166
STPT(10)	2123552259951291287	0 2 30 32 42 44 54 56 84 86	-1586841867450
SPT(16)	2123552419982665171	0 16 30 40 78 96 108 148 168 208 220 238 276 286 300 316	-1426810493566
SPT(16)	2123553460079824159	0 24 34 70 88 118 132 160 162 190 204 234 252 288 298 322	-386713334578
STPT(10)	2123554154522812181	0 2 30 32 78 80 126 128 156 158	307729653444
SPT(16)	2123554480894474027	0 82 96 136 142 162 180 186 190 196 214 234 240 280 294 376	634101315290
SPT(16)	2123554640883053207	0 60 102 146 200 242 284 294 362 372 414 456 510 554 596 656	794089894470
SPT(16)	2123555083117448083	0 36 48 54 64 174 178 190 264 276 280 390 400 406 418 454	1236324289346
TPT(14)	2123555601801721721	0 2 6 8 60 62 96 98 138 140 168 170 186 188	1755008562984