Prime p₀= 1956693240260781287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 28 2 76 2 40 2 10 2 (?)
a_n: 0 2 24 26 72 74 102 104 180 182 222 224 234 236
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: 236
Found by: samuraiii
db: batch=80, k=14, 22 46 28 76 40 10

SPT(16)	1956691620272766919	0 24 28 84 138 150 154 202 210 258 262 274 328 384 388 412	-1619988014368
STPT(10)	1956692366069789849	0 2 42 44 90 92 138 140 180 182	-874190991438
SPT(16)	1956692676753315769	0 34 48 60 64 88 112 132 190 210 234 258 262 274 288 322	-563507465518
STPT(10)	1956692969465245727	0 2 42 44 72 74 102 104 144 146	-270795535560
SPT(16)	1956693012853824247	0 90 100 112 150 156 184 210 286 312 340 346 384 396 406 496	-227406957040
SPT(16)	1956693165957391633	0 4 24 76 78 100 136 150 154 168 204 226 228 280 300 304	-74303389654
SPT(16)	1956693273703051861	0 22 42 90 108 112 148 160 168 180 216 220 238 286 306 328	33442270574
SPT(16)	1956693291867165701	0 12 42 66 110 176 188 192 236 240 252 318 362 386 416 428	51606384414
STPT(10)	1956693296563808951	0 2 30 32 78 80 126 128 156 158	56303027664
STPT(10)	1956693676146201227	0 2 42 44 72 74 102 104 144 146	435885419940
STPT(10)	1956693740638788647	0 2 60 62 72 74 84 86 144 146	500378007360