Prime p₀= 2799163388454433841 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 40 2 118 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 198 200 240 242 276 278
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: 278
Found by: JayPi
db: batch=82, k=12, 2 34 2 40 2 118

SPT(16)	2799162551723313823	0 10 24 34 36 64 78 120 124 166 180 208 210 220 234 244	-836731120018
SPT(16)	2799162599161137829	0 34 60 88 114 130 138 148 180 190 198 214 240 268 294 328	-789293296012
STPT(10)	2799162674232115067	0 2 30 32 60 62 90 92 120 122	-714222318774
SPT(16)	2799162770125622687	0 24 30 90 122 134 156 182 204 230 252 264 296 356 362 386	-618328811154
SPT(16)	2799162802630762387	0 52 66 70 84 106 112 120 136 144 150 172 186 190 204 256	-585823671454
SPT(18)	2799162806435297227	0 52 60 90 94 126 132 142 156 190 204 214 220 252 256 286 294 346	-582019136614
STPT(10)	2799163783436749577	0 2 30 32 60 62 90 92 120 122	394982315736
STPT(10)	2799163902530191541	0 2 36 38 78 80 120 122 156 158	514075757700
SPT(16)	2799163966146623641	0 18 42 76 88 90 130 142 156 168 208 210 222 256 280 298	577692189800
STPT(10)	2799164282766477929	0 2 30 32 120 122 210 212 240 242	894312044088
STPT(10)	2799164389174912877	0 2 24 26 42 44 60 62 84 86	1000720479036