Prime p₀= 1458783173271514619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: bfromcolo
db: batch=78, k=10, 2 40 2 46 2

SPT(16)	1458782450048608897	0 24 72 94 136 144 156 186 280 310 322 330 372 394 442 466	-723222905722
STPT(10)	1458782613840311651	0 2 66 68 108 110 150 152 216 218	-559431202968
SPT(16)	1458782790078396907	0 54 70 76 120 160 172 174 202 204 216 256 300 306 322 376	-383193117712
SPT(16)	1458782816281743791	0 2 12 66 116 126 138 150 158 170 182 192 242 296 306 308	-356989770828
SPT(16)	1458782892158232841	0 16 28 36 100 106 118 126 160 168 180 186 250 258 270 286	-281113281778
STPT(10)	1458783016544259191	0 2 30 32 60 62 90 92 120 122	-156727255428
SPT(16)	1458783174332848681	0 36 42 52 66 76 232 240 358 366 522 532 546 556 562 598	1061334062
SPT(16)	1458783185484126493	0 40 46 90 94 106 150 154 186 190 234 246 250 294 300 340	12212611874
STPT(10)	1458783441906191897	0 2 12 14 42 44 72 74 84 86	268634677278
STPT(10)	1458783453973821917	0 2 30 32 42 44 54 56 84 86	280702307298
SPT(16)	1458783705485581271	0 26 42 56 66 122 222 258 290 326 426 482 492 506 522 548	532214066652