Prime p₀= 3002553852730012001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 118 2 40 2 46 2 40 2 16 2 (?)
a_n: 0 2 36 38 156 158 198 200 246 248 288 290 306 308
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 308
Found by: [SG-FC] hl
db: batch=82, k=14, 34 118 40 46 40 16

SPT(16)	3002551160775168187	0 16 22 30 70 82 100 106 126 132 150 162 202 210 216 232	-2691954843814
TPT(14)	3002551703745633539	0 2 90 92 120 122 132 134 222 224 258 260 288 290	-2148984378462
STPT(12)	3002551853731981301	0 2 36 38 48 50 78 80 90 92 126 128	-1998998030700
STPT(10)	3002551932225290741	0 2 6 8 18 20 30 32 36 38	-1920504721260
SPT(16)	3002552712230166803	0 14 24 38 44 78 80 108 266 294 296 330 336 350 360 374	-1140499845198
SPT(16)	3002553467833537309	0 28 70 82 130 132 138 150 160 172 178 180 228 240 282 310	-384896474692
STPT(10)	3002554072769473007	0 2 30 32 60 62 90 92 120 122	220039461006
STPT(10)	3002554210009625987	0 2 60 62 72 74 84 86 144 146	357279613986
TPT(14)	3002554474280449547	0 2 60 62 90 92 114 116 132 134 180 182 222 224	621550437546
SPT(16)	3002554561111949941	0 18 48 58 76 82 102 126 142 166 186 192 210 220 250 268	708381937940
STPT(10)	3002554716710288417	0 2 12 14 42 44 72 74 84 86	863980276416