Prime p₀= 2279960684615194109 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: JayPi
db: batch=81, k=12, 2 10 2 28 2 16

SPT(16)	2279959027819936417	0 12 16 22 52 82 96 126 136 166 180 210 240 246 250 262	-1656795257692
STPT(10)	2279959369399625687	0 2 42 44 72 74 102 104 144 146	-1315215568422
SPT(16)	2279959410020375087	0 36 54 56 86 114 144 156 200 212 242 270 300 302 320 356	-1274594819022
SPT(13)	2279959490651570341	0 42 48 60 102 108 180 252 258 300 312 318 360	-1193963623768
SPT(16)	2279959742459762191	0 72 82 108 126 138 160 208 210 258 280 292 310 336 346 418	-942155431918
SPT(16)	2279960447603597359	0 12 24 40 52 94 102 112 150 160 168 210 222 238 250 262	-237011596750
SPT(16)	2279960725028499341	0 38 72 96 110 122 162 188 240 266 306 318 332 356 390 428	40413305232
STPT(10)	2279960747056099409	0 2 42 44 120 122 198 200 240 242	62440905300
STPT(10)	2279961166092712721	0 2 66 68 108 110 150 152 216 218	481477518612
STPT(10)	2279961177718739699	0 2 30 32 60 62 90 92 120 122	493103545590
STPT(10)	2279961630238201487	0 2 30 32 42 44 54 56 84 86	945623007378