Prime p₀= 1978662924050898947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 112 2 4 2 10 2 10 2 (?)
a_n: 0 2 30 32 120 122 234 236 240 242 252 254 264 266
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: MechWarrior
db: batch=80, k=14, 28 88 112 4 10 10

SPT(16)	1978662053813258381	0 2 18 50 80 98 128 138 182 192 222 240 270 302 318 320	-870237640566
SPT(13)	1978662148794030551	0 42 48 90 120 132 150 168 180 210 252 258 300	-775256868396
SPT(16)	1978662230846291239	0 12 58 78 88 138 162 168 184 190 214 264 274 294 340 352	-693204607708
STPT(10)	1978662490860361091	0 2 30 32 60 62 90 92 120 122	-433190537856
STPT(10)	1978662616558926371	0 2 6 8 108 110 210 212 216 218	-307491972576
STPT(10)	1978662892629634889	0 2 18 20 30 32 42 44 60 62	-31421264058
STPT(10)	1978663677081889709	0 2 18 20 30 32 42 44 60 62	753030990762
SPT(16)	1978663718382232943	0 8 24 84 90 120 144 150 158 164 188 218 224 284 300 308	794331333996
TPT(16)	1978663734366552809	0 2 30 32 132 134 162 164 210 212 240 242 252 254 270 272	810315653862
SPT(16)	1978664480676829019	0 12 18 42 48 72 114 120 152 158 200 224 230 254 260 272	1556625930072
SPT(16)	1978664570912155603	0 58 60 78 100 130 136 144 190 198 204 234 256 274 276 334	1646861256656