Prime p₀= 959652990848831051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 22 2 16 2 178 2 28 2 28 2 (?)
a_n: 0 2 66 68 90 92 108 110 288 290 318 320 348 350
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: 350
Found by: HenkM
db: batch=76, k=14, 64 22 16 178 28 28

SPT(16)	959651686790784271	0 12 22 42 48 60 78 88 162 172 190 202 208 228 238 250	-1304058046780
SPT(18)	959651750755232939	0 8 18 74 150 164 204 218 252 260 294 308 348 362 438 494 504 512	-1240093598112
SPT(16)	959651808159381331	0 16 42 46 52 106 108 120 178 190 192 246 252 256 282 298	-1182689449720
SPT(16)	959652222545369417	0 54 72 80 86 126 162 164 252 254 290 330 336 344 362 416	-768303461634
STPT(10)	959652466484221187	0 2 30 32 42 44 54 56 84 86	-524364609864
SPT(16)	959652934326275671	0 18 28 42 60 66 76 130 138 192 202 208 226 240 250 268	-56522555380
SPT(16)	959653310398149019	0 4 34 42 72 118 120 130 132 142 144 190 220 228 258 262	319549317968
SPT(16)	959653566011942533	0 28 40 120 124 130 166 196 198 228 264 270 274 354 366 394	575163111482
TPT(16)	959653587645368111	0 2 18 20 60 62 138 140 210 212 240 242 270 272 306 308	596796537060
STPT(10)	959653722379852481	0 2 36 38 78 80 120 122 156 158	731531021430
STPT(10)	959653925024433851	0 2 36 38 78 80 120 122 156 158	934175602800