Prime p₀= 2159838877539081857 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
All 12 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: Landjunge
db: batch=81, k=12, 2 22 2 4 2 22

SPT(16)	2159837156822696851	0 30 112 120 168 196 208 220 348 360 372 400 448 456 538 568	-1720716385006
SPT(16)	2159837779728341047	0 40 66 124 126 130 136 202 234 300 306 310 312 370 396 436	-1097810740810
STPT(10)	2159838380103090821	0 2 36 38 78 80 120 122 156 158	-497435991036
SPT(16)	2159838414790112887	0 34 174 210 220 244 252 306 400 454 462 486 496 532 672 706	-462748968970
STPT(12)	2159838633595395197	0 2 12 14 54 56 90 92 132 134 144 146	-243943686660
STPT(10)	2159838772666759157	0 2 30 32 42 44 54 56 84 86	-104872322700
SPT(16)	2159838878923952887	0 24 30 124 136 156 166 174 226 234 244 264 276 370 376 400	1384871030
TPT(14)	2159839570151040287	0 2 30 32 42 44 54 56 102 104 144 146 180 182	692611958430
SPT(16)	2159839835068415681	0 2 38 42 48 68 80 126 152 198 210 230 236 240 276 278	957529333824
STPT(10)	2159839929808756379	0 2 30 32 60 62 90 92 120 122	1052269674522
SPT(16)	2159840048136367757	0 26 30 32 44 54 86 140 156 210 242 252 264 266 270 296	1170597285900