Prime p₀= 2123527751000279681 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: Dingo
db: batch=80, k=10, 2 28 2 46 2

SPT(16)	2123526136877135593	0 10 36 88 136 154 180 234 250 304 330 348 396 448 474 484	-1614123144088
STPT(10)	2123526277247731427	0 2 30 32 42 44 54 56 84 86	-1473752548254
STPT(10)	2123526347673860807	0 2 60 62 72 74 84 86 144 146	-1403326418874
SPT(13)	2123526405373395677	0 12 42 72 90 132 156 180 222 240 270 300 312	-1345626884004
STPT(10)	2123527132794078617	0 2 60 62 72 74 84 86 144 146	-618206201064
TPT(14)	2123527271863501109	0 2 12 14 60 62 72 74 180 182 210 212 240 242	-479136778572
SPT(16)	2123527831741806409	0 58 84 118 132 178 208 220 222 234 264 310 324 358 384 442	80741526728
SPT(16)	2123527999314322763	0 44 50 78 86 108 126 164 210 248 266 288 296 324 330 374	248314043082
STPT(10)	2123528096505615431	0 2 30 32 78 80 126 128 156 158	345505335750
TPT(14)	2123528126289717779	0 2 60 62 78 80 90 92 102 104 162 164 228 230	375289438098
SPT(16)	2123528228785095973	0 24 58 66 100 120 136 156 178 198 214 234 268 276 310 334	477784816292