Prime p₀= 1134136313074254869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 28 2 58 2 22 2 4 2 (?)
a_n: 0 2 12 14 78 80 108 110 168 170 192 194 198 200
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: 200
Found by: stoneageman
db: batch=76, k=14, 10 64 28 58 22 4

SPT(16)	1134135040559085989	0 2 30 42 62 74 78 128 144 194 198 210 230 242 270 272	-1272515168880
TPT(14)	1134135469401396611	0 2 6 8 30 32 120 122 198 200 240 242 288 290	-843672858258
STPT(10)	1134135789434734781	0 2 30 32 60 62 90 92 120 122	-523639520088
SPT(16)	1134135947717081077	0 40 52 84 112 130 156 192 244 280 306 324 352 384 396 436	-365357173792
STPT(10)	1134135961807182077	0 2 42 44 72 74 102 104 144 146	-351267072792
SPT(16)	1134136227840720241	0 30 42 82 100 112 130 142 156 168 186 198 216 256 268 298	-85233534628
STPT(10)	1134136678967746451	0 2 6 8 48 50 90 92 96 98	365893491582
TPT(14)	1134137507284811441	0 2 60 62 66 68 96 98 126 128 198 200 240 242	1194210556572
SPT(16)	1134137718126857281	0 12 48 60 66 82 112 136 162 186 216 232 238 250 286 298	1405052602412
STPT(10)	1134137908526890217	0 2 30 32 42 44 54 56 84 86	1595452635348
STPT(10)	1134138288952334759	0 2 18 20 30 32 42 44 60 62	1975878079890