Prime p₀= 1458783441906191897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: bfromcolo
db: batch=78, k=10, 2 10 2 28 2

SPT(16)	1458782816281743791	0 2 12 66 116 126 138 150 158 170 182 192 242 296 306 308	-625624448106
SPT(16)	1458782892158232841	0 16 28 36 100 106 118 126 160 168 180 186 250 258 270 286	-549747959056
STPT(10)	1458783016544259191	0 2 30 32 60 62 90 92 120 122	-425361932706
STPT(10)	1458783173271514619	0 2 42 44 90 92 138 140 180 182	-268634677278
SPT(16)	1458783174332848681	0 36 42 52 66 76 232 240 358 366 522 532 546 556 562 598	-267573343216
SPT(16)	1458783185484126493	0 40 46 90 94 106 150 154 186 190 234 246 250 294 300 340	-256422065404
STPT(10)	1458783453973821917	0 2 30 32 42 44 54 56 84 86	12067630020
SPT(16)	1458783705485581271	0 26 42 56 66 122 222 258 290 326 426 482 492 506 522 548	263579389374
STPT(10)	1458783927955262771	0 2 36 38 78 80 120 122 156 158	486049070874
SPT(16)	1458784029154280713	0 10 16 40 96 108 118 126 148 156 166 178 234 258 264 274	587248088816
SPT(16)	1458784080123827543	0 36 66 80 98 108 176 188 228 240 308 318 336 350 380 416	638217635646