Prime p₀= 976078197241732577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 58 2 76 2 40 2 (?)
a_n: 0 2 24 26 42 44 54 56 114 116 192 194 234 236
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: [SG-2W]Kurzer
db: batch=76, k=14, 22 16 10 58 76 40

SPT(16)	976076756531633147	0 2 20 30 54 62 84 132 164 212 234 242 266 276 294 296	-1440710099430
STPT(10)	976076783370212369	0 2 18 20 30 32 42 44 60 62	-1413871520208
STPT(10)	976077152678005661	0 2 90 92 108 110 126 128 216 218	-1044563726916
SPT(16)	976077443487712147	0 4 24 66 106 112 150 154 222 226 264 270 310 352 372 376	-753754020430
SPT(16)	976077647381017219	0 22 34 52 64 78 90 108 124 142 154 168 180 198 210 232	-549860715358
TPT(14)	976078006933001351	0 2 36 38 96 98 108 110 150 152 156 158 210 212	-190308731226
SPT(16)	976078277640990257	0 32 42 56 84 132 152 156 170 174 194 242 270 284 294 326	80399257680
STPT(12)	976078333993390907	0 2 12 14 24 26 30 32 42 44 54 56	136751658330
SPT(18)	976078692613420183	0 28 40 64 100 118 154 156 168 286 298 300 336 354 390 414 426 454	495371687606
TPT(14)	976078809737830787	0 2 60 62 72 74 102 104 162 164 174 176 240 242	612496098210
SPT(16)	976079277226358573	0 6 14 20 36 56 78 80 144 146 168 188 204 210 218 224	1079984625996