Prime p₀= 1456577953825731899 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: Vitalii Koshura
db: batch=78, k=10, 2 40 2 76 2

STPT(10)	1456576702570525577	0 2 30 32 42 44 54 56 84 86	-1251255206322
SPT(16)	1456576848803240173	0 10 64 120 154 174 190 214 234 258 274 294 328 384 438 448	-1105022491726
SPT(16)	1456576899723580319	0 12 14 42 44 48 54 138 224 308 314 318 320 348 350 362	-1054102151580
SPT(16)	1456577070522384227	0 2 6 44 84 86 96 120 146 170 180 182 222 260 264 266	-883303347672
STPT(10)	1456577501764400801	0 2 30 32 60 62 90 92 120 122	-452061331098
SPT(16)	1456577895214972667	0 2 56 60 86 102 176 186 200 210 284 300 326 330 384 386	-58610759232
STPT(10)	1456578153741571409	0 2 48 50 90 92 132 134 180 182	199915839510
SPT(20)	1456578401120716831	0 48 90 102 118 130 150 156 178 202 276 300 322 328 348 360 376 388 430 478	447294984932
SPT(16)	1456578597230685287	0 2 42 56 60 90 102 116 156 170 182 212 216 230 270 272	643404953388
SPT(16)	1456578761597815511	0 32 50 80 90 96 116 152 216 252 272 278 288 318 336 368	807772083612
STPT(10)	1456578820134632609	0 2 18 20 30 32 42 44 60 62	866308900710