Prime p₀= 1135149755156872307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 28 2 4 2 58 2 10 2 (?)
a_n: 0 2 24 26 114 116 144 146 150 152 210 212 222 224
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: 224
Found by: stoneageman
db: batch=76, k=14, 22 88 28 4 58 10

SPT(16)	1135148923068594737	0 2 20 30 56 90 116 122 150 156 182 216 242 252 270 272	-832088277570
TPT(14)	1135148945237899049	0 2 42 44 132 134 162 164 168 170 210 212 258 260	-809918973258
SPT(16)	1135149526550637889	0 22 30 40 48 58 78 82 120 124 144 154 162 172 180 202	-228606234418
STPT(10)	1135149630870823331	0 2 30 32 78 80 126 128 156 158	-124286048976
SPT(16)	1135149636672029327	0 30 42 56 84 90 96 170 276 350 356 362 390 404 416 446	-118484842980
SPT(16)	1135149648372333511	0 22 30 36 58 60 66 112 186 232 238 240 262 268 276 298	-106784538796
STPT(10)	1135149774293561357	0 2 60 62 102 104 144 146 204 206	19136689050
SPT(16)	1135149791539877819	0 32 150 164 168 170 200 210 212 222 252 254 258 272 390 422	36383005512
SPT(16)	1135149874526444989	0 10 18 28 60 70 108 120 142 154 192 202 234 244 252 262	119369572682
STPT(10)	1135149989059146029	0 2 12 14 30 32 48 50 60 62	233902273722
STPT(10)	1135150638349218851	0 2 6 8 48 50 90 92 96 98	883192346544