Prime p₀= 1136171031089408801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 52 2 4 2 10 2 40 2 16 2 (?)
a_n: 0 2 126 128 180 182 186 188 198 200 240 242 258 260
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: 260
Found by: stoneageman
db: batch=76, k=14, 124 52 4 10 40 16

SPT(16)	1136170110998509669	0 12 40 90 112 190 202 222 232 252 264 342 364 414 442 454	-920090899132
SPT(16)	1136170447245660349	0 28 34 40 52 54 94 130 132 168 208 210 222 228 234 262	-583843748452
SPT(16)	1136170692615833447	0 24 62 84 96 132 150 182 234 266 284 320 332 354 392 416	-338473575354
STPT(10)	1136170727700795887	0 2 42 44 72 74 102 104 144 146	-303388612914
SPT(16)	1136170910017608691	0 10 58 102 106 118 160 162 226 228 270 282 286 330 378 388	-121071800110
STPT(10)	1136171015835164999	0 2 18 20 30 32 42 44 60 62	-15254243802
STPT(10)	1136171174587201589	0 2 12 14 90 92 168 170 180 182	143497792788
SPT(16)	1136171269960888039	0 28 48 88 90 118 142 214 228 300 324 352 354 394 414 442	238871479238
SPT(16)	1136171333544927941	0 2 50 72 170 182 198 200 258 260 276 288 386 408 456 458	302455519140
TPT(14)	1136171358968937587	0 2 114 116 174 176 270 272 282 284 324 326 330 332	327879528786
SPT(16)	1136171881117460261	0 12 78 92 98 132 138 140 180 182 188 222 228 242 308 320	850028051460