Prime p₀= 2123343728182794329 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2123342198541208633	0 4 10 30 46 108 118 120 184 186 196 258 274 294 300 304	-1529641585696
SPT(16)	2123342854288829599	0 28 70 84 112 114 138 160 192 214 238 240 268 282 324 352	-873893964730
STPT(10)	2123343309175042709	0 2 18 20 30 32 42 44 60 62	-419007751620
TPT(14)	2123343515590327319	0 2 42 44 78 80 120 122 210 212 312 314 342 344	-212592467010
STPT(10)	2123343703261206857	0 2 30 32 72 74 114 116 144 146	-24921587472
STPT(10)	2123343711680761649	0 2 48 50 60 62 72 74 120 122	-16502032680
SPT(16)	2123343791067545411	0 36 60 66 80 150 170 180 182 192 212 282 296 302 326 362	62884751082
STPT(10)	2123344078624850699	0 2 48 50 60 62 72 74 120 122	350442056370
SPT(16)	2123344139188045427	0 20 26 36 42 62 66 86 90 110 114 134 140 150 156 176	411005251098
SPT(16)	2123344432923647599	0 12 58 70 100 102 124 154 198 228 250 252 282 294 340 352	704740853270
SPT(16)	2123344574670000449	0 42 48 62 78 104 108 150 302 344 348 374 390 404 410 452	846487206120