Prime p₀= 2123551067280519629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Chooka
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2123550341702292287	0 2 12 14 30 32 72 74 114 116 222 224 234 236	-725578227342
STPT(10)	2123550390010678619	0 2 48 50 90 92 132 134 180 182	-677269841010
STPT(10)	2123550477961630967	0 2 12 14 72 74 132 134 144 146	-589318888662
SPT(16)	2123550549416300341	0 12 46 52 108 168 172 178 270 276 280 340 396 402 436 448	-517864219288
SPT(16)	2123550910429276949	0 20 98 122 132 150 152 180 230 258 260 278 288 312 390 410	-156851242680
STPT(10)	2123550980661177251	0 2 30 32 60 62 90 92 120 122	-86619342378
STPT(10)	2123551340159449199	0 2 18 20 30 32 42 44 60 62	272878929570
SPT(16)	2123552104055860571	0 2 30 32 42 78 80 92 108 120 122 158 168 170 198 200	1036775340942
STPT(10)	2123552259951291287	0 2 30 32 42 44 54 56 84 86	1192670771658
SPT(16)	2123552419982665171	0 16 30 40 78 96 108 148 168 208 220 238 276 286 300 316	1352702145542
SPT(16)	2123553460079824159	0 24 34 70 88 118 132 160 162 190 204 234 252 288 298 322	2392799304530