Prime p₀= 2183561681181552017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 28 2 28 2 4 2 40 2 (?)
a_n: 0 2 12 14 24 26 54 56 84 86 90 92 132 134
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: 134
Found by: JayPi
db: batch=81, k=14, 10 10 28 28 4 40

SPT(16)	2183560689594293831	0 12 38 50 66 68 72 96 152 176 180 182 198 210 236 248	-991587258186
STPT(10)	2183561126434217897	0 2 54 56 132 134 210 212 264 266	-554747334120
TPT(14)	2183561510709917981	0 2 66 68 156 158 210 212 276 278 360 362 366 368	-170471634036
STPT(10)	2183561525890637237	0 2 42 44 72 74 102 104 144 146	-155290914780
STPT(10)	2183561575260347201	0 2 78 80 108 110 138 140 216 218	-105921204816
STPT(10)	2183561618393292167	0 2 30 32 60 62 90 92 120 122	-62788259850
SPT(16)	2183561778177813863	0 8 20 74 96 104 126 186 218 278 300 308 330 384 396 404	96996261846
SPT(16)	2183561816883707489	0 42 92 102 132 138 152 168 194 210 224 230 260 270 320 362	135702155472
STPT(10)	2183562192457961639	0 2 18 20 30 32 42 44 60 62	511276409622
SPT(16)	2183562348289285697	0 12 32 44 60 132 140 144 152 156 164 236 252 264 284 296	667107733680
STPT(10)	2183562434262222857	0 2 30 32 42 44 54 56 84 86	753080670840