Prime p₀= 2658951597801673841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2658951042118687747	0 16 34 36 46 106 112 144 172 204 210 270 280 282 300 316	-555682986094
STPT(10)	2658951149061324581	0 2 36 38 78 80 120 122 156 158	-448740349260
SPT(13)	2658951383539381561	0 30 60 66 72 96 126 156 180 186 192 222 252	-214262292280
SPT(16)	2658951473444738981	0 20 42 62 78 80 146 168 200 222 288 290 306 326 348 368	-124356934860
SPT(16)	2658951476520818243	0 8 18 44 48 78 114 144 200 230 266 296 300 326 336 344	-121280855598
SPT(16)	2658951588410447567	0 14 20 42 44 102 132 144 182 194 224 282 284 306 312 326	-9391226274
STPT(10)	2658951779605621457	0 2 24 26 42 44 60 62 84 86	181803947616
STPT(10)	2658952030094252237	0 2 42 44 72 74 102 104 144 146	432292578396
STPT(10)	2658952367266133537	0 2 30 32 42 44 54 56 84 86	769464459696
SPT(16)	2658952472482857403	0 28 88 114 154 168 238 298 306 366 436 450 490 516 576 604	874681183562
SPT(16)	2658952616806191193	0 4 36 46 76 90 124 130 204 210 244 258 288 298 330 334	1019004517352