Prime p₀= 168944041495259 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 28 2 40 2 28 2 34 2 (?)
a_n: 0 2 60 62 90 92 132 134 162 164 198 200
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: 200
Found by: Egon olsen
db: batch=60, k=12, 58 28 40 28 34

SPT(14)	168915567043997	0 20 30 42 50 54 72 74 92 96 104 116 126 146	-28474451262
SPT(14)	168918644618791	0 16 28 40 48 72 82 156 166 190 198 210 222 238	-25396876468
SPT(14)	168935345459591	0 12 42 72 102 120 126 146 152 170 200 230 260 272	-8696035668
SPT(14)	168936060243199	0 28 34 54 138 144 148 270 274 280 364 384 390 418	-7981252060
SPT(14)	168941455180913	0 6 8 20 48 50 56 78 84 86 114 126 128 134	-2586314346
SPT(14)	168942186473267	0 6 20 32 44 60 72 74 86 102 114 126 140 146	-1855021992
SPT(14)	168952589467297	0 60 142 150 160 184 192 262 270 294 304 312 394 454	8547972038
SPT(14)	168954319027987	0 6 22 30 34 36 42 64 70 72 76 84 100 106	10277532728
SPT(14)	168957719308817	0 74 84 90 110 152 162 164 174 216 236 242 252 326	13677813558
STPT(10)	168957794377529	0 2 78 80 150 152 222 224 300 302	13752882270
TPT(12)	168958526545451	0 2 60 62 66 68 126 128 156 158 186 188	14485050192