Prime p₀= 778987583740171667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 4 2 130 2 16 2 52 2 (?)
a_n: 0 2 12 14 24 26 30 32 162 164 180 182 234 236
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: 236
Found by: jozef j
db: batch=73, k=14, 10 10 4 130 16 52

SPT(16)	778986625700740057	0 6 12 42 72 142 174 216 220 262 294 364 394 424 430 436	-958039431610
STPT(10)	778986950074118081	0 2 6 8 18 20 30 32 36 38	-633666053586
SPT(16)	778986964015900417	0 30 46 60 70 114 144 156 304 316 346 390 400 414 430 460	-619724271250
SPT(16)	778986973388309671	0 18 40 42 52 66 72 108 130 166 172 186 196 198 220 238	-610351861996
SPT(16)	778987431413790073	0 16 76 90 96 166 168 186 250 268 270 340 346 360 420 436	-152326381594
SPT(16)	778987523007449513	0 84 98 128 164 170 174 198 200 224 228 234 270 300 314 398	-60732722154
TPT(14)	778987826333568947	0 2 42 44 60 62 102 104 144 146 240 242 270 272	242593397280
SPT(16)	778987908180172387	0 12 30 36 54 100 120 126 160 166 186 232 250 256 274 286	324440000720
SPT(16)	778988026005071411	0 2 6 20 42 50 140 146 162 168 258 266 288 302 306 308	442264899744
SPT(16)	778988050627822991	0 102 138 158 170 198 212 260 288 336 350 378 390 410 446 548	466887651324
SPT(16)	778988815249340879	0 32 42 44 80 84 128 152 210 234 278 282 318 320 330 362	1231509169212