Prime p₀= 2222354568212260169 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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: 122
Found by: JayPi
db: batch=81, k=12, 2 40 2 4 2 22

SPT(16)	2222352378789168221	0 18 26 56 66 98 122 138 140 156 180 212 222 252 260 278	-2189423091948
SPT(16)	2222352487862871703	0 76 78 94 106 120 124 204 280 360 364 378 390 406 408 484	-2080349388466
SPT(16)	2222353179957844669	0 22 24 52 64 102 130 138 154 162 190 228 240 268 270 292	-1388254415500
SPT(16)	2222353332188937691	0 22 60 78 90 112 126 162 226 262 276 298 310 328 366 388	-1236023322478
STPT(10)	2222353463241145007	0 2 12 14 72 74 132 134 144 146	-1104971115162
STPT(10)	2222353977896305607	0 2 12 14 72 74 132 134 144 146	-590315954562
SPT(16)	2222354689844034899	0 38 60 90 128 150 152 170 252 270 272 294 332 362 384 422	121631774730
STPT(10)	2222355211302286439	0 2 42 44 120 122 198 200 240 242	643090026270
STPT(10)	2222355313201808801	0 2 30 32 78 80 126 128 156 158	744989548632
STPT(10)	2222355459634091237	0 2 30 32 42 44 54 56 84 86	891421831068
TPT(14)	2222355769013893157	0 2 54 56 72 74 84 86 240 242 282 284 294 296	1200801632988