Prime p₀= 2151718251441858467 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 40 2 34 2 10 2 16 2 (?)
a_n: 0 2 30 32 132 134 174 176 210 212 222 224 240 242
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: 242
Found by: JayPi
db: batch=81, k=14, 28 100 40 34 10 16

SPT(16)	2151717416809644407	0 14 44 66 104 122 126 132 164 170 174 192 230 252 282 296	-834632214060
STPT(10)	2151717534490347869	0 2 42 44 90 92 138 140 180 182	-716951510598
TPT(14)	2151717910216113581	0 2 60 62 138 140 156 158 168 170 180 182 276 278	-341225744886
STPT(10)	2151717939798193301	0 2 6 8 108 110 210 212 216 218	-311643665166
SPT(16)	2151718198853896369	0 22 54 72 132 138 144 204 208 268 274 280 340 358 390 412	-52587962098
SPT(16)	2151718231754889167	0 2 12 56 96 104 126 140 156 170 192 200 240 284 294 296	-19686969300
TPT(14)	2151718503770612237	0 2 84 86 114 116 360 362 402 404 420 422 480 482	252328753770
SPT(16)	2151718522937900407	0 10 12 24 82 150 156 184 192 220 226 294 352 364 366 376	271496041940
SPT(16)	2151719131963141333	0 24 46 48 54 88 106 130 294 318 336 370 376 378 400 424	880521282866
STPT(10)	2151719926280274599	0 2 18 20 30 32 42 44 60 62	1674838416132
STPT(10)	2151720274831857137	0 2 90 92 102 104 114 116 204 206	2023389998670