Prime p₀= 2036854579329903029 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 10 2 118 2 16 2 28 2 (?)
a_n: 0 2 72 74 90 92 102 104 222 224 240 242 270 272
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: 272
Found by: Orange Kid
db: batch=80, k=14, 70 16 10 118 16 28

SPT(16)	2036852233618335361	0 22 30 60 76 118 132 156 172 196 210 252 268 298 306 328	-2345711567668
SPT(18)	2036852285833570367	0 2 30 116 120 180 182 204 206 240 242 264 266 326 330 416 444 446	-2293496332662
STPT(10)	2036852359955166041	0 2 36 38 78 80 120 122 156 158	-2219374736988
STPT(10)	2036852697452853359	0 2 48 50 60 62 72 74 120 122	-1881877049670
SPT(16)	2036852824535828479	0 22 24 48 60 112 160 168 214 222 270 322 334 358 360 382	-1754794074550
STPT(12)	2036854162360684481	0 2 78 80 90 92 126 128 138 140 216 218	-416969218548
STPT(10)	2036854622485241087	0 2 12 14 42 44 72 74 84 86	43155338058
STPT(10)	2036854790612733317	0 2 30 32 72 74 114 116 144 146	211282830288
STPT(10)	2036855042004889289	0 2 78 80 120 122 162 164 240 242	462674986260
TPT(14)	2036855165643651557	0 2 84 86 120 122 150 152 180 182 204 206 240 242	586313748528
STPT(10)	2036855568115913729	0 2 30 32 60 62 90 92 120 122	988786010700