Prime p₀= 2261187446645455721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 4 2 22 2 28 2 58 2 214 2 (?)
a_n: 0 2 120 122 126 128 150 152 180 182 240 242 456 458
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: 458
Found by: JayPi
db: batch=81, k=14, 118 4 22 28 58 214

SPT(16)	2261185780154557219	0 12 28 34 42 54 148 168 214 234 328 340 348 354 370 382	-1666490898502
STPT(10)	2261186660456834021	0 2 6 8 18 20 30 32 36 38	-786188621700
SPT(16)	2261186858703133643	0 24 38 44 78 104 146 176 198 228 270 296 330 336 350 374	-587942322078
STPT(12)	2261186922061295399	0 2 12 14 42 44 78 80 108 110 120 122	-524584160322
STPT(10)	2261187120333789749	0 2 48 50 90 92 132 134 180 182	-326311665972
TPT(16)	2261187174334438169	0 2 42 44 72 74 78 80 108 110 162 164 198 200 210 212	-272311017552
TPT(14)	2261188054569100157	0 2 72 74 144 146 174 176 252 254 282 284 312 314	607923644436
STPT(10)	2261188526978293667	0 2 30 32 42 44 54 56 84 86	1080332837946
SPT(16)	2261188838316302599	0 4 40 48 52 112 124 130 132 138 150 210 214 222 258 262	1391670846878
SPT(16)	2261188840866895553	0 14 50 60 74 98 104 108 116 120 126 150 164 174 210 224	1394221439832
STPT(10)	2261188995258811997	0 2 30 32 42 44 54 56 84 86	1548613356276