Prime p₀= 1953484968731133977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 130 2 4 2 10 2 40 2 (?)
a_n: 0 2 84 86 102 104 234 236 240 242 252 254 294 296
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: 296
Found by: JonS
db: batch=80, k=14, 82 16 130 4 10 40

SPT(16)	1953483442071891473	0 38 108 116 120 128 170 284 300 414 456 464 468 476 546 584	-1526659242504
SPT(16)	1953483885714231851	0 2 8 50 78 92 116 126 212 222 246 260 288 330 336 338	-1083016902126
STPT(10)	1953484226122037501	0 2 6 8 48 50 90 92 96 98	-742609096476
STPT(10)	1953484417919753861	0 2 6 8 18 20 30 32 36 38	-550811380116
STPT(10)	1953484486490665097	0 2 30 32 72 74 114 116 144 146	-482240468880
SPT(16)	1953484731162943591	0 18 28 30 40 42 48 78 82 112 118 120 130 132 142 160	-237568190386
STPT(10)	1953485528465391617	0 2 12 14 72 74 132 134 144 146	559734257640
TPT(14)	1953485917954357469	0 2 18 20 102 104 210 212 270 272 348 350 390 392	949223223492
TPT(14)	1953486070675456397	0 2 42 44 84 86 90 92 132 134 150 152 234 236	1101944322420
STPT(10)	1953486129007635977	0 2 30 32 42 44 54 56 84 86	1160276502000
STPT(10)	1953486142810989887	0 2 60 62 72 74 84 86 144 146	1174079855910