Prime p₀= 728622229644345989 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: crashtech
db: batch=73, k=10, 2 40 2 76 2

SPT(16)	728621503347737333	0 6 50 60 74 96 104 110 174 180 188 210 224 234 278 284	-726296608656
STPT(10)	728621644555631987	0 2 30 32 42 44 54 56 84 86	-585088714002
SPT(16)	728621688176034833	0 8 20 38 66 96 110 116 168 174 188 218 246 264 276 284	-541468311156
SPT(16)	728621772288799663	0 40 106 150 154 178 264 268 456 460 546 570 574 618 684 724	-457355546326
SPT(16)	728622094095818831	0 18 20 42 56 72 98 156 182 240 266 282 296 318 320 338	-135548527158
SPT(16)	728622159023125769	0 54 84 114 168 254 260 264 278 282 288 374 428 458 488 542	-70621220220
SPT(16)	728622317513860153	0 24 48 54 76 88 96 124 180 208 216 228 250 256 280 304	87869514164
TPT(14)	728622388409456039	0 2 90 92 132 134 270 272 330 332 408 410 498 500	158765110050
STPT(10)	728622545949154457	0 2 42 44 72 74 102 104 144 146	316304808468
SPT(16)	728622600773172257	0 14 26 50 96 110 116 120 140 144 150 164 210 234 246 260	371128826268
SPT(16)	728622913068367399	0 34 60 78 102 162 168 174 208 214 220 280 304 322 348 382	683424021410