Prime p₀= 1319902837722774059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1319901450318088837	0 30 64 82 124 150 154 232 294 372 376 402 444 462 496 526	-1387404685222
STPT(10)	1319901484591237967	0 2 42 44 72 74 102 104 144 146	-1353131536092
TPT(14)	1319901521672802881	0 2 36 38 126 128 138 140 150 152 168 170 180 182	-1316049971178
STPT(10)	1319902109261612951	0 2 6 8 48 50 90 92 96 98	-728461161108
SPT(16)	1319902222501892357	0 12 30 42 56 66 116 180 212 276 326 336 350 362 380 392	-615220881702
TPT(14)	1319902245551169557	0 2 30 32 54 56 114 116 144 146 222 224 252 254	-592171604502
STPT(10)	1319902996857321431	0 2 36 38 78 80 120 122 156 158	159134547372
SPT(16)	1319903041991876471	0 8 26 38 42 56 90 108 110 128 162 176 180 192 210 218	204269102412
SPT(16)	1319903080544395339	0 18 84 94 130 160 180 234 244 298 318 348 384 394 460 478	242821621280
STPT(10)	1319903224223831831	0 2 36 38 108 110 180 182 216 218	386501057772
STPT(12)	1319903354821320089	0 2 30 32 78 80 120 122 168 170 198 200	517098546030