Prime p₀= 2042133146740963061 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: MechWarrior
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2042132046197361211	0 36 58 78 106 112 126 136 162 172 186 192 220 240 262 298	-1100543601850
STPT(10)	2042132628046310879	0 2 48 50 60 62 72 74 120 122	-518694652182
SPT(16)	2042132812320181177	0 4 64 70 90 102 154 172 174 192 244 256 276 282 342 346	-334420781884
TPT(16)	2042132855060408519	0 2 12 14 48 50 120 122 162 164 180 182 210 212 342 344	-291680554542
SPT(13)	2042132856194547007	0 6 42 72 192 210 216 222 240 360 390 426 432	-290546416054
STPT(10)	2042132971379807417	0 2 42 44 72 74 102 104 144 146	-175361155644
SPT(18)	2042133559045024477	0 4 36 40 70 76 84 156 180 190 214 286 294 300 330 334 366 370	412304061416
STPT(10)	2042133789123629471	0 2 6 8 48 50 90 92 96 98	642382666410
TPT(14)	2042133923556926807	0 2 60 62 102 104 150 152 234 236 240 242 312 314	776815963746
SPT(16)	2042134253696323273	0 48 100 114 120 156 180 198 256 274 298 334 340 354 406 454	1106955360212
TPT(14)	2042134283626968329	0 2 138 140 168 170 192 194 282 284 318 320 360 362	1136886005268