Prime p₀= 4044906594661965551 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Centaur
db: batch=84, k=10, 2 34 2 40 2

SPT(16)	4044904531984166437	0 34 42 72 90 96 114 124 132 142 160 166 184 214 222 256	-2062677799114
SPT(16)	4044905113286541241	0 30 36 40 66 78 106 126 220 240 268 280 306 310 316 346	-1481375424310
SPT(16)	4044905289876668221	0 16 46 118 166 222 228 250 288 310 316 372 420 492 522 538	-1304785297330
SPT(16)	4044905715968814769	0 48 88 114 130 144 150 204 268 322 328 342 358 384 424 472	-878693150782
SPT(16)	4044905958637899827	0 26 36 50 150 182 206 272 324 390 414 446 546 560 570 596	-636024065724
STPT(10)	4044906057364035011	0 2 36 38 78 80 120 122 156 158	-537297930540
STPT(10)	4044907124825424887	0 2 30 32 120 122 210 212 240 242	530163459336
SPT(16)	4044907880775591281	0 12 60 72 92 170 182 188 210 216 228 306 326 338 386 398	1286113625730
SPT(16)	4044907903763260553	0 8 78 90 96 120 138 140 186 188 206 230 236 248 318 326	1309101295002
SPT(16)	4044908145250269797	0 42 54 140 216 294 422 426 440 444 572 650 726 812 824 866	1550588304246
STPT(10)	4044908280776188361	0 2 6 8 48 50 90 92 96 98	1686114222810