Prime p₀= 976998086413957847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 28 2 28 2 10 2 58 2 10 2 (?)
a_n: 0 2 120 122 150 152 180 182 192 194 252 254 264 266
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: 266
Found by: stoneageman
db: batch=76, k=14, 118 28 28 10 58 10

SPT(16)	976997151959104789	0 28 30 42 88 90 118 120 142 144 172 174 220 232 234 262	-934454853058
SPT(16)	976997227183350833	0 6 14 50 56 78 80 110 204 234 236 258 264 300 308 314	-859230607014
SPT(16)	976997356876648231	0 10 46 76 108 126 130 168 178 216 220 238 270 300 336 346	-729537309616
SPT(16)	976997446106756267	0 26 50 72 92 102 110 114 182 186 194 204 224 246 270 296	-640307201580
STPT(10)	976997509532067167	0 2 42 44 72 74 102 104 144 146	-576881890680
SPT(16)	976997889963679249	0 22 24 30 72 100 108 124 138 154 162 190 232 238 240 262	-196450278598
STPT(10)	976998838840752977	0 2 30 32 42 44 54 56 84 86	752426795130
SPT(16)	976998913353273121	0 6 78 132 148 150 180 190 348 358 388 390 406 460 532 538	826939315274
TPT(14)	976999147619237747	0 2 42 44 54 56 180 182 222 224 240 242 264 266	1061205279900
STPT(10)	976999147989652397	0 2 30 32 42 44 54 56 84 86	1061575694550
STPT(10)	976999593076883609	0 2 48 50 60 62 72 74 120 122	1506662925762