Prime p₀= 1368391919172017651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: stoneageman
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1368391108534815647	0 2 42 44 102 104 162 164 204 206	-810637202004
TPT(14)	1368391191369363737	0 2 30 32 90 92 144 146 162 164 174 176 240 242	-727802653914
SPT(16)	1368391206834222301	0 30 66 78 108 118 136 148 168 180 198 208 238 250 286 316	-712337795350
SPT(16)	1368391558527326479	0 24 34 42 70 72 90 100 102 112 130 132 160 168 178 202	-360644691172
STPT(10)	1368391597316227217	0 2 30 32 42 44 54 56 84 86	-321855790434
STPT(10)	1368391631658883001	0 2 30 32 78 80 126 128 156 158	-287513134650
SPT(15)	1368392128719137999	0 12 54 72 102 114 144 162 180 210 222 252 270 312 324	209547120348
STPT(10)	1368392270362224557	0 2 90 92 102 104 114 116 204 206	351190206906
SPT(16)	1368392602163606639	0 20 144 158 174 180 198 224 228 254 272 278 294 308 432 452	682991588988
SPT(16)	1368392867781563251	0 82 90 132 136 150 196 222 286 312 358 372 376 418 426 508	948609545600
STPT(10)	1368393564688284647	0 2 84 86 102 104 120 122 204 206	1645516266996