Prime p₀= 2378078351925472151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 34 2 10 2 58 2 16 2 (?)
a_n: 0 2 18 20 90 92 126 128 138 140 198 200 216 218
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: 218
Found by: ChUcK
db: batch=81, k=14, 16 70 34 10 58 16

SPT(16)	2378077340119005523	0 60 64 118 174 186 204 208 216 220 238 250 306 360 364 424	-1011806466628
SPT(16)	2378077483061647649	0 24 42 72 78 98 102 120 122 140 144 164 170 200 218 242	-868863824502
SPT(16)	2378077750226735647	0 10 70 84 94 112 124 150 154 180 192 210 220 234 294 304	-601698736504
STPT(10)	2378078176444653491	0 2 6 8 48 50 90 92 96 98	-175480818660
SPT(16)	2378078234252850499	0 40 42 84 100 132 144 160 222 238 250 282 298 340 342 382	-117672621652
SPT(16)	2378078246998561741	0 12 22 58 100 126 186 216 322 352 412 438 480 516 526 538	-104926910410
STPT(10)	2378078467971618791	0 2 36 38 78 80 120 122 156 158	116046146640
SPT(16)	2378078908234349483	0 60 78 170 198 230 246 254 300 308 324 356 384 476 494 554	556308877332
SPT(16)	2378078964067594873	0 24 30 60 88 106 148 154 180 186 228 246 274 304 310 334	612142122722
SPT(16)	2378079049526644313	0 6 36 50 56 84 90 120 194 224 230 258 264 278 308 314	697601172162
TPT(14)	2378079343533794141	0 2 138 140 216 218 288 290 300 302 336 338 390 392	991608321990