Prime p₀= 974631347412099059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 112 2 4 2 28 2 40 2 10 2 (?)
a_n: 0 2 18 20 132 134 138 140 168 170 210 212 222 224
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: HenkM
db: batch=76, k=14, 16 112 4 28 40 10

SPT(16)	974629722969839501	0 6 26 50 78 96 116 162 206 252 272 290 318 342 362 368	-1624442259558
STPT(10)	974629730801953199	0 2 30 32 120 122 210 212 240 242	-1616610145860
STPT(10)	974630137226042777	0 2 30 32 42 44 54 56 84 86	-1210186056282
SPT(16)	974630636094145223	0 8 14 44 98 140 146 168 176 198 204 246 300 330 336 344	-711317953836
SPT(16)	974630986664290187	0 14 26 66 134 140 170 194 222 246 276 282 350 390 402 416	-360747808872
STPT(10)	974631150432609077	0 2 42 44 72 74 102 104 144 146	-196979489982
SPT(16)	974631552042909451	0 36 78 88 108 126 136 148 300 312 322 340 360 370 412 448	204630810392
SPT(16)	974631641553320629	0 22 40 42 60 90 102 112 132 142 154 184 202 204 222 244	294141221570
STPT(10)	974631916217618777	0 2 30 32 42 44 54 56 84 86	568805519718
TPT(14)	974632649326022441	0 2 60 62 96 98 108 110 150 152 186 188 228 230	1301913923382
SPT(16)	974632739467407079	0 42 52 54 70 108 114 124 138 148 154 192 208 210 220 262	1392055308020