Prime p₀= 2310377141371956869 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: FritzB
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2310375913235357609	0 14 20 24 54 68 98 132 140 174 204 218 248 252 258 272	-1228136599260
SPT(16)	2310376266340214249	0 20 24 30 48 78 132 150 272 290 344 374 392 398 402 422	-875031742620
SPT(16)	2310376300586716709	0 8 12 14 32 42 62 74 78 90 110 120 138 140 144 152	-840785240160
TPT(14)	2310376314612086729	0 2 150 152 162 164 222 224 282 284 318 320 390 392	-826759870140
STPT(10)	2310376622437324247	0 2 42 44 72 74 102 104 144 146	-518934632622
SPT(16)	2310376795707457783	0 40 70 76 148 154 204 208 246 250 300 306 378 384 414 454	-345664499086
SPT(16)	2310377612593462007	0 24 44 84 92 126 140 150 176 186 200 234 242 282 302 326	471221505138
SPT(16)	2310378027901206829	0 34 42 88 102 124 172 180 202 210 258 280 294 340 348 382	886529249960
SPT(16)	2310378033343199623	0 24 30 46 84 100 150 166 228 244 294 310 348 364 370 394	891971242754
SPT(16)	2310378367845777973	0 6 18 28 46 76 94 106 198 210 228 258 276 286 298 304	1226473821104
SPT(16)	2310378602710201007	0 6 12 26 32 54 66 74 132 140 152 174 180 194 200 206	1461338244138