Prime p₀= 947731042825579709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 4 2 28 2 40 2 10 2 (?)
a_n: 0 2 30 32 132 134 138 140 168 170 210 212 222 224
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: 224
Found by: stoneageman
db: batch=76, k=14, 28 100 4 28 40 10

SPT(16)	947729259740339641	0 48 78 90 102 108 112 120 178 186 190 196 208 220 250 298	-1783085240068
SPT(16)	947729993590438213	0 46 94 106 130 150 156 166 168 178 184 204 228 240 288 334	-1049235141496
SPT(16)	947729998748265191	0 18 32 68 86 116 138 162 176 200 222 252 270 306 320 338	-1044077314518
STPT(10)	947730374482547177	0 2 30 32 42 44 54 56 84 86	-668343032532
STPT(10)	947730825707870591	0 2 30 32 78 80 126 128 156 158	-217117709118
SPT(16)	947730843408629713	0 34 58 124 130 138 156 210 214 268 286 294 300 366 390 424	-199416949996
STPT(10)	947731376141617589	0 2 18 20 30 32 42 44 60 62	333316037880
STPT(10)	947731382058528167	0 2 60 62 72 74 84 86 144 146	339232948458
SPT(16)	947731737087741259	0 34 54 70 84 114 142 148 174 180 208 238 252 268 288 322	694262161550
TPT(14)	947732310395956871	0 2 36 38 78 80 120 122 186 188 240 242 288 290	1267570377162
TPT(14)	947732542058605097	0 2 12 14 114 116 174 176 240 242 264 266 324 326	1499233025388