Prime p₀= 1095231979121406779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 4 2 40 2 136 2 10 2 (?)
a_n: 0 2 30 32 42 44 48 50 90 92 228 230 240 242
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: 242
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 28 10 4 40 136 10

STPT(10)	1095231106913413409	0 2 42 44 60 62 78 80 120 122	-872207993370
STPT(10)	1095231407504313689	0 2 30 32 120 122 210 212 240 242	-571617093090
STPT(10)	1095231652333338431	0 2 6 8 18 20 30 32 36 38	-326788068348
SPT(16)	1095231918913355347	0 10 12 34 36 54 112 126 130 144 202 220 222 244 246 256	-60208051432
STPT(10)	1095231927005129411	0 2 36 38 78 80 120 122 156 158	-52116277368
STPT(10)	1095231968432913131	0 2 6 8 18 20 30 32 36 38	-10688493648
SPT(16)	1095232017446900891	0 18 20 38 60 62 108 110 258 260 306 308 330 348 350 368	38325494112
SPT(16)	1095232229264892203	0 20 30 38 80 108 114 116 198 200 206 234 276 284 294 314	250143485424
STPT(10)	1095232505308796669	0 2 12 14 90 92 168 170 180 182	526187389890
SPT(16)	1095232627064296309	0 40 54 72 84 112 120 142 150 172 180 208 220 238 252 292	647942889530
SPT(16)	1095232731931899157	0 60 64 90 126 142 154 160 186 192 204 220 256 282 286 346	752810492378